Documentation Verification Report

Fin

📁 Source: Mathlib/Order/Interval/Finset/Fin.lean

Statistics

MetricCount
DefinitionsinstLocallyFiniteOrder, instLocallyFiniteOrderBot, instLocallyFiniteOrderTop
3
TheoremsIcc_add_one_eq_Ioc, Icc_sub_one_eq_Ico, Ici_add_one_eq_Ioi, Ico_add_one_eq_Icc, Ico_add_one_eq_Ioo, Iic_sub_one_eq_Iio, Iio_add_one_eq_Iic, Ioc_sub_one_eq_Icc, Ioc_sub_one_eq_Ioo, Ioi_sub_one_eq_Ici, Ioo_add_one_eq_Ioc, Ioo_sub_one_eq_Ico, attachFin_Icc, attachFin_Ico, attachFin_Ico_eq_Ici, attachFin_Iic, attachFin_Iio, attachFin_Ioc, attachFin_Ioo, attachFin_Ioo_eq_Ioi, attachFin_uIcc, card_Icc, card_Ici, card_Ico, card_Iic, card_Iio, card_Ioc, card_Ioi, card_Ioo, card_uIcc, finsetImage_addNat_Icc, finsetImage_addNat_Ici, finsetImage_addNat_Ico, finsetImage_addNat_Ioc, finsetImage_addNat_Ioi, finsetImage_addNat_Ioo, finsetImage_addNat_uIcc, finsetImage_castAdd_Icc, finsetImage_castAdd_Ici, finsetImage_castAdd_Ico, finsetImage_castAdd_Iic, finsetImage_castAdd_Iio, finsetImage_castAdd_Ioc, finsetImage_castAdd_Ioi, finsetImage_castAdd_Ioo, finsetImage_castAdd_uIcc, finsetImage_castLE_Icc, finsetImage_castLE_Ico, finsetImage_castLE_Iic, finsetImage_castLE_Iio, finsetImage_castLE_Ioc, finsetImage_castLE_Ioo, finsetImage_castLE_uIcc, finsetImage_castSucc_Icc, finsetImage_castSucc_Ici, finsetImage_castSucc_Ico, finsetImage_castSucc_Iic, finsetImage_castSucc_Iio, finsetImage_castSucc_Ioc, finsetImage_castSucc_Ioi, finsetImage_castSucc_Ioo, finsetImage_castSucc_uIcc, finsetImage_cast_Icc, finsetImage_cast_Ici, finsetImage_cast_Ico, finsetImage_cast_Iic, finsetImage_cast_Iio, finsetImage_cast_Ioc, finsetImage_cast_Ioi, finsetImage_cast_Ioo, finsetImage_cast_uIcc, finsetImage_natAdd_Icc, finsetImage_natAdd_Ici, finsetImage_natAdd_Ico, finsetImage_natAdd_Ioc, finsetImage_natAdd_Ioi, finsetImage_natAdd_Ioo, finsetImage_natAdd_uIcc, finsetImage_rev_Icc, finsetImage_rev_Ici, finsetImage_rev_Ico, finsetImage_rev_Iic, finsetImage_rev_Iio, finsetImage_rev_Ioc, finsetImage_rev_Ioi, finsetImage_rev_Ioo, finsetImage_rev_uIcc, finsetImage_succ_Icc, finsetImage_succ_Ici, finsetImage_succ_Ico, finsetImage_succ_Iic, finsetImage_succ_Iio, finsetImage_succ_Ioc, finsetImage_succ_Ioi, finsetImage_succ_Ioo, finsetImage_succ_uIcc, finsetImage_val_Icc, finsetImage_val_Ici, finsetImage_val_Ico, finsetImage_val_Iic, finsetImage_val_Iio, finsetImage_val_Ioc, finsetImage_val_Ioi, finsetImage_val_Ioo, finsetImage_val_uIcc, map_addNatEmb_Icc, map_addNatEmb_Ici, map_addNatEmb_Ico, map_addNatEmb_Ioc, map_addNatEmb_Ioi, map_addNatEmb_Ioo, map_addNatEmb_uIcc, map_castAddEmb_Icc, map_castAddEmb_Ici, map_castAddEmb_Ico, map_castAddEmb_Iic, map_castAddEmb_Iio, map_castAddEmb_Ioc, map_castAddEmb_Ioi, map_castAddEmb_Ioo, map_castAddEmb_uIcc, map_castLEEmb_Icc, map_castLEEmb_Ico, map_castLEEmb_Iic, map_castLEEmb_Iio, map_castLEEmb_Ioc, map_castLEEmb_Ioo, map_castLEEmb_uIcc, map_castSuccEmb_Icc, map_castSuccEmb_Ici, map_castSuccEmb_Ico, map_castSuccEmb_Iic, map_castSuccEmb_Iio, map_castSuccEmb_Ioc, map_castSuccEmb_Ioi, map_castSuccEmb_Ioo, map_castSuccEmb_uIcc, map_finCongr_Icc, map_finCongr_Ici, map_finCongr_Ico, map_finCongr_Iic, map_finCongr_Iio, map_finCongr_Ioc, map_finCongr_Ioi, map_finCongr_Ioo, map_finCongr_uIcc, map_natAddEmb_Icc, map_natAddEmb_Ici, map_natAddEmb_Ico, map_natAddEmb_Ioc, map_natAddEmb_Ioi, map_natAddEmb_Ioo, map_natAddEmb_uIcc, map_revPerm_Icc, map_revPerm_Ici, map_revPerm_Ico, map_revPerm_Iic, map_revPerm_Iio, map_revPerm_Ioc, map_revPerm_Ioi, map_revPerm_Ioo, map_revPerm_uIcc, map_succEmb_Icc, map_succEmb_Ici, map_succEmb_Ico, map_succEmb_Iic, map_succEmb_Iio, map_succEmb_Ioc, map_succEmb_Ioi, map_succEmb_Ioo, map_succEmb_uIcc, map_valEmbedding_Icc, map_valEmbedding_Ici, map_valEmbedding_Ico, map_valEmbedding_Iic, map_valEmbedding_Iio, map_valEmbedding_Ioc, map_valEmbedding_Ioi, map_valEmbedding_Ioo, map_valEmbedding_uIcc
180
Total183

Fin

Definitions

NameCategoryTheorems
instLocallyFiniteOrder 📖CompOp
170 mathmath: map_succEmb_Iio, finsetImage_natAdd_Ioc, prod_uIcc_cast, Ico_add_one_eq_Ioo, map_castLEEmb_Ioc, finsetImage_castLE_Ioo, map_revPerm_Ioc, map_castAddEmb_Ico, finsetImage_castAdd_uIcc, finsetImage_castSucc_Ioo, finsetImage_castSucc_uIcc, prod_Ico_succ, finsetImage_natAdd_Icc, prod_Ioo_castLE, finsetImage_val_Ioo, map_castLEEmb_uIcc, finsetImage_castSucc_Ioc, sum_Icc_castAdd, sum_Ico_castSucc, map_valEmbedding_uIcc, map_succEmb_uIcc, finsetImage_succ_Iio, card_uIcc, map_castAddEmb_Ici, map_finCongr_Ioo, finsetImage_castLE_Ico, prod_Ioo_castAdd, finsetImage_succ_Ico, sum_Ioo_succ, map_natAddEmb_uIcc, attachFin_Icc, map_revPerm_Ico, finsetImage_castAdd_Ico, card_Ico, Ioo_add_one_eq_Ioc, map_castLEEmb_Ico, sum_Ico_succ, Ico_add_one_eq_Icc, finsetImage_cast_Icc, finsetImage_castAdd_Ici, sum_Ioo_castLE, sum_Ioc_castAdd, sum_Ioo_cast, prod_Ioc_castLE, finsetImage_castSucc_Ico, finsetImage_addNat_Ioc, map_castLEEmb_Ioo, sum_Icc_cast, prod_uIcc_castLE, map_revPerm_Icc, prod_Ioc_castSucc, finsetImage_succ_uIcc, prod_Ioo_cast, map_finCongr_uIcc, sum_Ioc_castLE, finsetImage_val_Ioc, map_addNatEmb_Ico, map_castLEEmb_Icc, prod_Icc_castLE, finsetImage_castLE_uIcc, finsetImage_rev_Ioc, card_Icc, finsetImage_succ_Iic, finsetImage_rev_uIcc, prod_uIcc_castSucc, finsetImage_castAdd_Ioi, finsetImage_natAdd_Ico, sum_Ico_cast, finsetImage_val_Ico, attachFin_uIcc, prod_Ico_cast, map_natAddEmb_Icc, finsetImage_cast_Ioo, card_Ioo, map_valEmbedding_Icc, map_castSuccEmb_Ici, attachFin_Ico, finsetImage_addNat_Ico, map_natAddEmb_Ico, map_castAddEmb_Ioc, finsetImage_succ_Ioo, attachFin_Ioo, prod_Ioo_castSucc, map_revPerm_Ioo, map_revPerm_uIcc, finsetImage_castSucc_Ioi, finsetImage_val_Icc, map_addNatEmb_uIcc, prod_Ico_castSucc, map_succEmb_Ioo, map_valEmbedding_Ioo, sum_uIcc_castAdd, map_castSuccEmb_Icc, sum_Ioo_castAdd, Ioc_sub_one_eq_Icc, map_castAddEmb_uIcc, prod_Icc_succ, finsetImage_castSucc_Icc, sum_Icc_succ, map_valEmbedding_Ico, map_castSuccEmb_uIcc, Icc_sub_one_eq_Ico, map_succEmb_Ico, finsetImage_succ_Icc, prod_Ioc_castAdd, finsetImage_addNat_Icc, sum_Icc_castLE, map_addNatEmb_Ioc, map_succEmb_Ioc, finsetImage_rev_Icc, sum_uIcc_castSucc, sum_Ioc_succ, sum_Ico_castAdd, prod_Icc_castSucc, sum_Ioc_cast, prod_Ico_castLE, prod_Icc_castAdd, Ioo_sub_one_eq_Ico, sum_uIcc_castLE, finsetImage_natAdd_uIcc, prod_uIcc_succ, finsetImage_val_uIcc, Ioc_sub_one_eq_Ioo, finsetImage_addNat_Ioo, card_Ioc, prod_uIcc_castAdd, finsetImage_castSucc_Ici, finsetImage_rev_Ico, map_castSuccEmb_Ioi, map_succEmb_Icc, sum_Icc_castSucc, finsetImage_castAdd_Icc, map_castSuccEmb_Ico, map_addNatEmb_Icc, map_castSuccEmb_Ioo, finsetImage_castLE_Ioc, prod_Ioc_succ, finsetImage_natAdd_Ioo, prod_Icc_cast, finsetImage_cast_Ioc, sum_Ico_castLE, map_finCongr_Ioc, map_natAddEmb_Ioo, Icc_add_one_eq_Ioc, map_addNatEmb_Ioo, finsetImage_cast_Ico, finsetImage_castAdd_Ioo, finsetImage_rev_Ioo, sum_Ioc_castSucc, finsetImage_cast_uIcc, finsetImage_succ_Ioc, map_castAddEmb_Icc, map_castAddEmb_Ioo, finsetImage_castAdd_Ioc, sum_Ioo_castSucc, map_natAddEmb_Ioc, map_castSuccEmb_Ioc, sum_uIcc_cast, finsetImage_addNat_uIcc, map_finCongr_Icc, map_succEmb_Iic, prod_Ioc_cast, map_finCongr_Ico, map_valEmbedding_Ioc, prod_Ioo_succ, attachFin_Ioc, map_castAddEmb_Ioi, finsetImage_castLE_Icc, prod_Ico_castAdd, sum_uIcc_succ
instLocallyFiniteOrderBot 📖CompOp
61 mathmath: finsetImage_castLE_Iio, map_succEmb_Iio, attachFin_Iic, map_castLEEmb_Iic, finsetImage_castAdd_Iio, sum_Iic_cast, finsetImage_castAdd_Iic, finsetImage_succ_Iio, sum_Iic_castAdd, map_finCongr_Iic, finsetImage_cast_Iio, finsetImage_val_Iio, addRothNumber_eq_rothNumberNat, Equiv.Perm.sign_eq_prod_prod_Iio, map_revPerm_Ici, sum_Iic_castLE, finsetImage_rev_Iic, sum_Iio_castLE, map_revPerm_Ioi, Iio_last_eq_map, prod_Iio_castSucc, finsetImage_rev_Ioi, prod_Iic_castSucc, finsetImage_succ_Iic, prod_Iio_castAdd, card_Iio, prod_Iic_cast, map_castLEEmb_Iio, sum_Iio_castAdd, sum_Iio_cast, Iio_castSucc, map_castAddEmb_Iio, Iio_add_one_eq_Iic, sum_Iio_castSucc, card_Iic, finsetImage_castSucc_Iic, attachFin_Iio, map_castSuccEmb_Iio, map_revPerm_Iio, addRothNumber_le_rothNumberNat, prod_Iic_castLE, finsetImage_rev_Iio, map_castSuccEmb_Iic, Iic_sub_one_eq_Iio, prod_Iio_cast, sum_Iic_castSucc, finsetImage_val_Iic, finsetImage_castLE_Iic, prod_Iio_castLE, finsetImage_castSucc_Iio, finsetImage_cast_Iic, map_finCongr_Iio, RootPairing.Base.exists_eq_sum_and_forall_sum_mem_of_isPos, map_castAddEmb_Iic, map_valEmbedding_Iio, prod_Iic_castAdd, Equiv.Perm.prod_Iio_comp_eq_sign_mul_prod, map_revPerm_Iic, map_succEmb_Iic, finsetImage_rev_Ici, map_valEmbedding_Iic
instLocallyFiniteOrderTop 📖CompOp
67 mathmath: card_Ioi, Ioi_succ, finsetImage_addNat_Ioi, finsetImage_addNat_Ici, card_Ici, map_addNatEmb_Ici, finsetImage_val_Ioi, Matrix.det_vandermonde, attachFin_Ioo_eq_Ioi, map_natAddEmb_Ici, sum_sum_eq_sum_triangle_add, Matrix.det_projVandermonde, Equiv.Perm.sign_eq_prod_prod_Ioi, map_addNatEmb_Ioi, Equiv.Perm.prod_Ioi_comp_eq_sign_mul_prod, map_castAddEmb_Ici, extDeriv_apply_vectorField, attachFin_Ico_eq_Ici, finsetImage_cast_Ioi, ContinuousAlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinCLM_comp_apply, sum_Ioi_cast, finsetImage_castAdd_Ici, finsetImage_cast_Ici, prod_Ici_cast, map_revPerm_Ici, sum_Ici_cast, finsetImage_rev_Iic, map_revPerm_Ioi, AlternatingMap.alternatizeUncurryFin_alternatizeUncurryFinLM_comp_apply, map_valEmbedding_Ici, map_succEmb_Ioi, map_finCongr_Ici, finsetImage_rev_Ioi, prod_Ioi_cast, finsetImage_castAdd_Ioi, map_succEmb_Ici, prod_Ioi_succ, finsetImage_val_Ici, map_castSuccEmb_Ici, extDerivWithin_apply_vectorField, Algebra.discr_powerBasis_eq_prod, finsetImage_castSucc_Ioi, map_valEmbedding_Ioi, finsetImage_natAdd_Ioi, map_natAddEmb_Ioi, map_revPerm_Iio, finsetImage_rev_Iio, map_finCongr_Ioi, Ici_add_one_eq_Ioi, prod_Ioi_zero, prod_Ici_succ, finsetImage_succ_Ici, Algebra.discr_powerBasis_eq_prod'', finsetImage_castSucc_Ici, Algebra.discr_powerBasis_eq_prod', map_castSuccEmb_Ioi, Ioi_sub_one_eq_Ici, Ioi_zero_eq_map, sum_Ioi_zero, finsetImage_natAdd_Ici, prod_prod_eq_prod_triangle_mul, map_revPerm_Iic, sum_Ioi_succ, finsetImage_rev_Ici, finsetImage_succ_Ioi, sum_Ici_succ, map_castAddEmb_Ioi

Theorems

NameKindAssumesProvesValidatesDepends On
Icc_add_one_eq_Ioc 📖mathematicalFinset.Icc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
neZero
Finset.Ioc
Icc_sub_one_eq_Ico 📖mathematicalneZeroFinset.Icc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.Ico
Ici_add_one_eq_Ioi 📖mathematicalFinset.Ici
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
neZero
Finset.Ioi
Ico_add_one_eq_Icc 📖mathematicalFinset.Ico
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
neZero
Finset.Icc
Ico_add_one_eq_Ioo 📖mathematicalFinset.Ico
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
neZero
Finset.Ioo
Iic_sub_one_eq_Iio 📖mathematicalneZeroFinset.Iic
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Finset.Iio
Iio_add_one_eq_Iic 📖mathematicalFinset.Iio
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
neZero
Finset.Iic
Ioc_sub_one_eq_Icc 📖mathematicalneZeroFinset.Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.Icc
Ioc_sub_one_eq_Ioo 📖mathematicalneZeroFinset.Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.Ioo
Ioi_sub_one_eq_Ici 📖mathematicalneZeroFinset.Ioi
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.Ici
Ioo_add_one_eq_Ioc 📖mathematicalFinset.Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
neZero
Finset.Ioc
Ioo_sub_one_eq_Ico 📖mathematicalneZeroFinset.Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.Ico
attachFin_Icc 📖mathematicalFinset.attachFin
Finset.Icc
Nat.instPreorder
Nat.instLocallyFiniteOrder
LE.le.trans_lt
Preorder.toLE
Finset
Finset.instMembership
Finset.mem_Icc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
LE.le.trans_lt
Finset.mem_Icc
attachFin_Ico 📖mathematicalFinset.attachFin
Finset.Ico
Nat.instPreorder
Nat.instLocallyFiniteOrder
LT.lt.trans
Preorder.toLE
Preorder.toLT
Finset
Finset.instMembership
Finset.mem_Ico
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
LT.lt.trans
Finset.mem_Ico
attachFin_Ico_eq_Ici 📖mathematicalFinset.attachFin
Finset.Ico
Nat.instPreorder
Nat.instLocallyFiniteOrder
Preorder.toLE
Preorder.toLT
Finset
Finset.instMembership
Finset.mem_Ico
Finset.Ici
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.ext
Finset.mem_Ico
attachFin_Iic 📖mathematicalFinset.attachFin
Finset.Iic
Nat.instPreorder
LocallyFiniteOrder.toLocallyFiniteOrderBot
Nat.instOrderBot
Nat.instLocallyFiniteOrder
LE.le.trans_lt
Finset
Finset.instMembership
Preorder.toLE
Finset.mem_Iic
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Finset.ext
LE.le.trans_lt
Finset.mem_Iic
attachFin_Iio 📖mathematicalFinset.attachFin
Finset.Iio
Nat.instPreorder
LocallyFiniteOrder.toLocallyFiniteOrderBot
Nat.instOrderBot
Nat.instLocallyFiniteOrder
LT.lt.trans
Finset
Finset.instMembership
Preorder.toLT
Finset.mem_Iio
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Finset.ext
LT.lt.trans
Finset.mem_Iio
attachFin_Ioc 📖mathematicalFinset.attachFin
Finset.Ioc
Nat.instPreorder
Nat.instLocallyFiniteOrder
LE.le.trans_lt
Preorder.toLT
Preorder.toLE
Finset
Finset.instMembership
Finset.mem_Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
LE.le.trans_lt
Finset.mem_Ioc
attachFin_Ioo 📖mathematicalFinset.attachFin
Finset.Ioo
Nat.instPreorder
Nat.instLocallyFiniteOrder
LT.lt.trans
Preorder.toLT
Finset
Finset.instMembership
Finset.mem_Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
LT.lt.trans
Finset.mem_Ioo
attachFin_Ioo_eq_Ioi 📖mathematicalFinset.attachFin
Finset.Ioo
Nat.instPreorder
Nat.instLocallyFiniteOrder
Preorder.toLT
Finset
Finset.instMembership
Finset.mem_Ioo
Finset.Ioi
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.ext
Finset.mem_Ioo
attachFin_uIcc 📖mathematicalFinset.attachFin
Finset.uIcc
DistribLattice.toLattice
instDistribLatticeNat
Nat.instLocallyFiniteOrder
LE.le.trans_lt
Nat.instPreorder
SemilatticeSup.toMax
Lattice.toSemilatticeSup
Preorder.toLE
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
SemilatticeInf.toMin
Finset
Finset.instMembership
Finset.Icc
Finset.mem_Icc
instMax_mathlib
instLattice
instLocallyFiniteOrder
LE.le.trans_lt
Finset.mem_Icc
card_Icc 📖mathematicalFinset.card
Finset.Icc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Nat.card_Icc
map_valEmbedding_Icc
Finset.card_map
card_Ici 📖mathematicalFinset.card
Finset.Ici
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.mem_Ico
attachFin_Ico_eq_Ici
Finset.card_attachFin
Nat.card_Ico
card_Ico 📖mathematicalFinset.card
Finset.Ico
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Nat.card_Ico
map_valEmbedding_Ico
Finset.card_map
card_Iic 📖mathematicalFinset.card
Finset.Iic
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Nat.card_Iic
map_valEmbedding_Iic
Finset.card_map
card_Iio 📖mathematicalFinset.card
Finset.Iio
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Nat.card_Iio
map_valEmbedding_Iio
Finset.card_map
card_Ioc 📖mathematicalFinset.card
Finset.Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Nat.card_Ioc
map_valEmbedding_Ioc
Finset.card_map
card_Ioi 📖mathematicalFinset.card
Finset.Ioi
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.card_map
map_valEmbedding_Ioi
Nat.card_Ioo
card_Ioo 📖mathematicalFinset.card
Finset.Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Nat.card_Ioo
map_valEmbedding_Ioo
Finset.card_map
card_uIcc 📖mathematicalFinset.card
Finset.uIcc
instLattice
instLocallyFiniteOrder
Nat.card_uIcc
map_valEmbedding_uIcc
Finset.card_map
finsetImage_addNat_Icc 📖mathematicalFinset.image
Finset.Icc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.coe_image
Finset.coe_Icc
image_addNat_Icc
finsetImage_addNat_Ici 📖mathematicalFinset.image
Finset.Ici
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.coe_image
Finset.coe_Ici
image_addNat_Ici
finsetImage_addNat_Ico 📖mathematicalFinset.image
Finset.Ico
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.coe_image
Finset.coe_Ico
image_addNat_Ico
finsetImage_addNat_Ioc 📖mathematicalFinset.image
Finset.Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.coe_image
Finset.coe_Ioc
image_addNat_Ioc
finsetImage_addNat_Ioi 📖mathematicalFinset.image
Finset.Ioi
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.coe_image
Finset.coe_Ioi
image_addNat_Ioi
finsetImage_addNat_Ioo 📖mathematicalFinset.image
Finset.Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.coe_image
Finset.coe_Ioo
image_addNat_Ioo
finsetImage_addNat_uIcc 📖mathematicalFinset.image
Finset.uIcc
instLattice
instLocallyFiniteOrder
Finset.coe_image
Finset.coe_uIcc
image_addNat_uIcc
finsetImage_castAdd_Icc 📖mathematicalFinset.image
Finset.Icc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
finsetImage_castLE_Icc
finsetImage_castAdd_Ici 📖mathematicalFinset.image
Finset.Ici
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.Ico
instLocallyFiniteOrder
Finset.coe_image
Finset.coe_Ici
image_castAdd_Ici
Finset.coe_Ico
finsetImage_castAdd_Ico 📖mathematicalFinset.image
Finset.Ico
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
finsetImage_castLE_Ico
finsetImage_castAdd_Iic 📖mathematicalFinset.image
Finset.Iic
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
finsetImage_castLE_Iic
finsetImage_castAdd_Iio 📖mathematicalFinset.image
Finset.Iio
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
finsetImage_castLE_Iio
finsetImage_castAdd_Ioc 📖mathematicalFinset.image
Finset.Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
finsetImage_castLE_Ioc
finsetImage_castAdd_Ioi 📖mathematicalFinset.image
Finset.Ioi
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.Ioo
instLocallyFiniteOrder
Finset.coe_image
Finset.coe_Ioi
image_castAdd_Ioi
Finset.coe_Ioo
finsetImage_castAdd_Ioo 📖mathematicalFinset.image
Finset.Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
finsetImage_castLE_Ioo
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Finset.coe_map
Set.image_congr
Finset.coe_Ico
image_natAdd_Ico
map_natAddEmb_Ioc 📖mathematicalFinset.map
natAddEmb
Finset.Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.coe_map
Set.image_congr
Finset.coe_Ioc
image_natAdd_Ioc
map_natAddEmb_Ioi 📖mathematicalFinset.map
natAddEmb
Finset.Ioi
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.coe_map
Set.image_congr
Finset.coe_Ioi
image_natAdd_Ioi
map_natAddEmb_Ioo 📖mathematicalFinset.map
natAddEmb
Finset.Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.coe_map
Set.image_congr
Finset.coe_Ioo
image_natAdd_Ioo
map_natAddEmb_uIcc 📖mathematicalFinset.map
natAddEmb
Finset.uIcc
instLattice
instLocallyFiniteOrder
Finset.coe_map
Set.image_congr
Finset.coe_uIcc
image_natAdd_uIcc
map_revPerm_Icc 📖mathematicalFinset.map
Equiv.toEmbedding
revPerm
Finset.Icc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.coe_map
Set.image_congr
image_rev_fun
Finset.coe_Icc
preimage_rev_Icc
map_revPerm_Ici 📖mathematicalFinset.map
Equiv.toEmbedding
revPerm
Finset.Ici
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.Iic
instLocallyFiniteOrderBot
Finset.coe_map
Set.image_congr
image_rev_fun
Finset.coe_Ici
preimage_rev_Ici
Finset.coe_Iic
map_revPerm_Ico 📖mathematicalFinset.map
Equiv.toEmbedding
revPerm
Finset.Ico
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.Ioc
Finset.coe_map
Set.image_congr
image_rev_fun
Finset.coe_Ico
preimage_rev_Ico
Finset.coe_Ioc
map_revPerm_Iic 📖mathematicalFinset.map
Equiv.toEmbedding
revPerm
Finset.Iic
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Finset.Ici
instLocallyFiniteOrderTop
Finset.coe_map
Set.image_congr
image_rev_fun
Finset.coe_Iic
preimage_rev_Iic
Finset.coe_Ici
map_revPerm_Iio 📖mathematicalFinset.map
Equiv.toEmbedding
revPerm
Finset.Iio
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Finset.Ioi
instLocallyFiniteOrderTop
Finset.coe_map
Set.image_congr
image_rev_fun
Finset.coe_Iio
preimage_rev_Iio
Finset.coe_Ioi
map_revPerm_Ioc 📖mathematicalFinset.map
Equiv.toEmbedding
revPerm
Finset.Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.Ico
Finset.coe_map
Set.image_congr
image_rev_fun
Finset.coe_Ioc
preimage_rev_Ioc
Finset.coe_Ico
map_revPerm_Ioi 📖mathematicalFinset.map
Equiv.toEmbedding
revPerm
Finset.Ioi
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.Iio
instLocallyFiniteOrderBot
Finset.coe_map
Set.image_congr
image_rev_fun
Finset.coe_Ioi
preimage_rev_Ioi
Finset.coe_Iio
map_revPerm_Ioo 📖mathematicalFinset.map
Equiv.toEmbedding
revPerm
Finset.Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Finset.coe_map
Set.image_congr
image_rev_fun
Finset.coe_Ioo
preimage_rev_Ioo
map_revPerm_uIcc 📖mathematicalFinset.map
Equiv.toEmbedding
revPerm
Finset.uIcc
instLattice
instLocallyFiniteOrder
Finset.coe_map
Set.image_congr
image_rev_fun
Finset.coe_uIcc
preimage_rev_uIcc
map_succEmb_Icc 📖mathematicalFinset.map
succEmb
Finset.Icc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
map_addNatEmb_Icc
map_succEmb_Ici 📖mathematicalFinset.map
succEmb
Finset.Ici
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
map_addNatEmb_Ici
map_succEmb_Ico 📖mathematicalFinset.map
succEmb
Finset.Ico
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
map_addNatEmb_Ico
map_succEmb_Iic 📖mathematicalFinset.map
succEmb
Finset.Iic
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Finset.Ioc
instLocallyFiniteOrder
Finset.coe_map
Set.image_congr
Finset.coe_Iic
image_succ_Iic
Finset.coe_Ioc
map_succEmb_Iio 📖mathematicalFinset.map
succEmb
Finset.Iio
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Finset.Ioo
instLocallyFiniteOrder
Finset.coe_map
Set.image_congr
Finset.coe_Iio
image_succ_Iio
Finset.coe_Ioo
map_succEmb_Ioc 📖mathematicalFinset.map
succEmb
Finset.Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
map_addNatEmb_Ioc
map_succEmb_Ioi 📖mathematicalFinset.map
succEmb
Finset.Ioi
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
map_addNatEmb_Ioi
map_succEmb_Ioo 📖mathematicalFinset.map
succEmb
Finset.Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
map_addNatEmb_Ioo
map_succEmb_uIcc 📖mathematicalFinset.map
succEmb
Finset.uIcc
instLattice
instLocallyFiniteOrder
map_addNatEmb_uIcc
map_valEmbedding_Icc 📖mathematicalFinset.map
valEmbedding
Finset.Icc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Nat.instPreorder
Nat.instLocallyFiniteOrder
Finset.map_valEmbedding_attachFin
map_valEmbedding_Ici 📖mathematicalFinset.map
valEmbedding
Finset.Ici
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.Ico
Nat.instPreorder
Nat.instLocallyFiniteOrder
Finset.mem_Ico
attachFin_Ico_eq_Ici
Finset.map_valEmbedding_attachFin
map_valEmbedding_Ico 📖mathematicalFinset.map
valEmbedding
Finset.Ico
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Nat.instPreorder
Nat.instLocallyFiniteOrder
Finset.map_valEmbedding_attachFin
map_valEmbedding_Iic 📖mathematicalFinset.map
valEmbedding
Finset.Iic
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Nat.instPreorder
LocallyFiniteOrder.toLocallyFiniteOrderBot
Nat.instOrderBot
Nat.instLocallyFiniteOrder
LE.le.trans_lt
Finset.mem_Iic
attachFin_Iic
Finset.map_valEmbedding_attachFin
map_valEmbedding_Iio 📖mathematicalFinset.map
valEmbedding
Finset.Iio
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderBot
Nat.instPreorder
LocallyFiniteOrder.toLocallyFiniteOrderBot
Nat.instOrderBot
Nat.instLocallyFiniteOrder
LT.lt.trans
Finset.mem_Iio
attachFin_Iio
Finset.map_valEmbedding_attachFin
map_valEmbedding_Ioc 📖mathematicalFinset.map
valEmbedding
Finset.Ioc
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Nat.instPreorder
Nat.instLocallyFiniteOrder
Finset.map_valEmbedding_attachFin
map_valEmbedding_Ioi 📖mathematicalFinset.map
valEmbedding
Finset.Ioi
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrderTop
Finset.Ioo
Nat.instPreorder
Nat.instLocallyFiniteOrder
Finset.mem_Ioo
attachFin_Ioo_eq_Ioi
Finset.map_valEmbedding_attachFin
map_valEmbedding_Ioo 📖mathematicalFinset.map
valEmbedding
Finset.Ioo
PartialOrder.toPreorder
instPartialOrder
instLocallyFiniteOrder
Nat.instPreorder
Nat.instLocallyFiniteOrder
Finset.map_valEmbedding_attachFin
map_valEmbedding_uIcc 📖mathematicalFinset.map
valEmbedding
Finset.uIcc
instLattice
instLocallyFiniteOrder
DistribLattice.toLattice
instDistribLatticeNat
Nat.instLocallyFiniteOrder
map_valEmbedding_Icc

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