Documentation Verification Report

Monovary

📁 Source: Mathlib/Order/Monotone/Monovary.lean

Statistics

MetricCount
DefinitionsAntivary, AntivaryOn, Monovary, MonovaryOn
4
Theoremsantivary, monovary, antivaryOn, monovaryOn, antivaryOn, comp_antitone_left, comp_monotone_left, comp_right, dual, dual_left, dual_right, comp_antitoneOn_right, comp_antitone_on_left, comp_monotoneOn_right, comp_monotone_on_left, comp_right, dual, dual_left, dual_right, empty, subset, antivary, monovary, antivaryOn, monovaryOn, comp_antitone_left, comp_monotone_left, comp_right, dual, dual_left, dual_right, monovaryOn, comp_antitoneOn_right, comp_antitone_on_left, comp_monotoneOn_right, comp_monotone_on_left, comp_right, dual, dual_left, dual_right, empty, subset, trans_antivary, trans_monovary, trans_antivaryOn, trans_monovaryOn, trans_antivary, trans_monovary, trans_antivaryOn, trans_monovaryOn, antivary, antivaryOn, monovary, monovaryOn, antivaryOn_comm, antivaryOn_const_left, antivaryOn_const_right, antivaryOn_id_iff, antivaryOn_iff_antivary, antivaryOn_toDual_left, antivaryOn_toDual_right, antivaryOn_univ, antivary_comm, antivary_const_left, antivary_const_right, antivary_id_iff, antivary_toDual_left, antivary_toDual_right, monovaryOn_comm, monovaryOn_const_left, monovaryOn_const_right, monovaryOn_id_iff, monovaryOn_iff_monovary, monovaryOn_self, monovaryOn_toDual_left, monovaryOn_toDual_right, monovaryOn_univ, monovary_comm, monovary_const_left, monovary_const_right, monovary_id_iff, monovary_self, monovary_toDual_left, monovary_toDual_right
84
Total88

Antitone

Theorems

NameKindAssumesProvesValidatesDepends On
antivary 📖mathematicalAntitone
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
Monotone
AntivaryMonovary.dual_right
monovary
Monotone.dual_right
monovary 📖mathematicalAntitone
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
MonovaryAntivary.dual_left
Monotone.antivary
dual_right

AntitoneOn

Theorems

NameKindAssumesProvesValidatesDepends On
antivaryOn 📖mathematicalAntitoneOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
MonotoneOn
AntivaryOnMonovaryOn.dual_right
monovaryOn
MonotoneOn.dual_right
monovaryOn 📖mathematicalAntitoneOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
MonovaryOnAntivaryOn.dual_left
MonotoneOn.antivaryOn
dual_right

Antivary

Theorems

NameKindAssumesProvesValidatesDepends On
antivaryOn 📖mathematicalAntivaryAntivaryOn
comp_antitone_left 📖mathematicalAntivary
Antitone
Monovary
comp_monotone_left 📖mathematicalAntivary
Monotone
Antivary
comp_right 📖mathematicalAntivaryAntivary
dual 📖mathematicalAntivaryAntivary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
dual_left 📖mathematicalAntivaryMonovary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
dual_right 📖mathematicalAntivaryMonovary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual

AntivaryOn

Theorems

NameKindAssumesProvesValidatesDepends On
comp_antitoneOn_right 📖mathematicalAntivaryOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
AntitoneOn
Set.image
MonovaryOnAntitoneOn.reflect_lt
Set.mem_image_of_mem
comp_antitone_on_left 📖mathematicalAntivaryOn
Antitone
MonovaryOn
comp_monotoneOn_right 📖mathematicalAntivaryOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
MonotoneOn
Set.image
AntivaryOnMonotoneOn.reflect_lt
Set.mem_image_of_mem
comp_monotone_on_left 📖mathematicalAntivaryOn
Monotone
AntivaryOn
comp_right 📖mathematicalAntivaryOnAntivaryOn
Set.preimage
dual 📖mathematicalAntivaryOnAntivaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
dual_left 📖mathematicalAntivaryOnMonovaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
dual_right 📖mathematicalAntivaryOnMonovaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
empty 📖mathematicalAntivaryOn
Set
Set.instEmptyCollection
subset 📖mathematicalSet
Set.instHasSubset
AntivaryOn
AntivaryOn

Monotone

Theorems

NameKindAssumesProvesValidatesDepends On
antivary 📖mathematicalMonotone
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
Antitone
AntivaryMonovary.dual_right
monovary
Antitone.dual_right
monovary 📖mathematicalMonotone
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
MonovaryLT.lt.le
reflect_lt

MonotoneOn

Theorems

NameKindAssumesProvesValidatesDepends On
antivaryOn 📖mathematicalMonotoneOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
AntitoneOn
AntivaryOnMonovaryOn.dual_right
monovaryOn
AntitoneOn.dual_right
monovaryOn 📖mathematicalMonotoneOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
MonovaryOnLT.lt.le
reflect_lt

Monovary

Theorems

NameKindAssumesProvesValidatesDepends On
comp_antitone_left 📖mathematicalMonovary
Antitone
Antivary
comp_monotone_left 📖mathematicalMonovary
Monotone
Monovary
comp_right 📖mathematicalMonovaryMonovary
dual 📖mathematicalMonovaryMonovary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
dual_left 📖mathematicalMonovaryAntivary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
dual_right 📖mathematicalMonovaryAntivary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
monovaryOn 📖mathematicalMonovaryMonovaryOn

MonovaryOn

Theorems

NameKindAssumesProvesValidatesDepends On
comp_antitoneOn_right 📖mathematicalMonovaryOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
AntitoneOn
Set.image
AntivaryOnAntitoneOn.reflect_lt
Set.mem_image_of_mem
comp_antitone_on_left 📖mathematicalMonovaryOn
Antitone
AntivaryOn
comp_monotoneOn_right 📖mathematicalMonovaryOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
MonotoneOn
Set.image
MonovaryOnMonotoneOn.reflect_lt
Set.mem_image_of_mem
comp_monotone_on_left 📖mathematicalMonovaryOn
Monotone
MonovaryOn
comp_right 📖mathematicalMonovaryOnMonovaryOn
Set.preimage
dual 📖mathematicalMonovaryOnMonovaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
dual_left 📖mathematicalMonovaryOnAntivaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
dual_right 📖mathematicalMonovaryOnAntivaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
empty 📖mathematicalMonovaryOn
Set
Set.instEmptyCollection
subset 📖mathematicalSet
Set.instHasSubset
MonovaryOn
MonovaryOn

StrictAnti

Theorems

NameKindAssumesProvesValidatesDepends On
trans_antivary 📖mathematicalStrictAnti
PartialOrder.toPreorder
Antivary
Monotone
PartialOrder.toPreorder
monotone_iff_forall_lt
trans_monovary 📖mathematicalStrictAnti
PartialOrder.toPreorder
Monovary
Antitone
PartialOrder.toPreorder
antitone_iff_forall_lt

StrictAntiOn

Theorems

NameKindAssumesProvesValidatesDepends On
trans_antivaryOn 📖mathematicalStrictAntiOn
PartialOrder.toPreorder
AntivaryOn
MonotoneOn
PartialOrder.toPreorder
monotoneOn_iff_forall_lt
trans_monovaryOn 📖mathematicalStrictAntiOn
PartialOrder.toPreorder
MonovaryOn
AntitoneOn
PartialOrder.toPreorder
antitoneOn_iff_forall_lt

StrictMono

Theorems

NameKindAssumesProvesValidatesDepends On
trans_antivary 📖mathematicalStrictMono
PartialOrder.toPreorder
Antivary
Antitone
PartialOrder.toPreorder
antitone_iff_forall_lt
trans_monovary 📖mathematicalStrictMono
PartialOrder.toPreorder
Monovary
Monotone
PartialOrder.toPreorder
monotone_iff_forall_lt

StrictMonoOn

Theorems

NameKindAssumesProvesValidatesDepends On
trans_antivaryOn 📖mathematicalStrictMonoOn
PartialOrder.toPreorder
AntivaryOn
AntitoneOn
PartialOrder.toPreorder
antitoneOn_iff_forall_lt
trans_monovaryOn 📖mathematicalStrictMonoOn
PartialOrder.toPreorder
MonovaryOn
MonotoneOn
PartialOrder.toPreorder
monotoneOn_iff_forall_lt

Subsingleton

Theorems

NameKindAssumesProvesValidatesDepends On
antivary 📖mathematicalAntivaryLT.lt.ne
antivaryOn 📖mathematicalAntivaryOnLT.lt.ne
monovary 📖mathematicalMonovaryLT.lt.ne
monovaryOn 📖mathematicalMonovaryOnLT.lt.ne

(root)

Definitions

NameCategoryTheorems
Antivary 📖MathDef
85 mathmath: Antivary.mul_left, Antivary.nsmul_right, Antivary.of_inv₀, Monotone.antivary, Antivary.div_right, monovary_inv_left, Antivary.sub_left, antivary_iff_smul_rearrangement, antivary_inv₀, Monovary.dual_left, Antitone.antivary, Antivary.neg, antivary_inv, Monovary.of_inv_left, monovary_toDual_right, monovary_inv_right₀, Monovary.of_neg_left, antivary_inv_right₀, Monovary.inv_right, antivaryOn_univ, Antivary.mul_right₀, Antivary.sum_smul_lt_sum_comp_perm_smul_iff, Monovary.neg_right, antivary_neg, Monovary.inv_left, antivary_toDual_right, antivary_iff_exists_monotone_antitone, Antivary.sum_mul_eq_sum_mul_comp_perm_iff, Antivary.add_right, Antivary.inv, Monovary.inv_right₀, Antivary.inv₀, Antivary.pow_left, Antivary.add_left, Antivary.sum_smul_lt_sum_smul_comp_perm_iff, Monovary.inv_left₀, antivary_inv_left, Monovary.dual_right, antivaryOn_iff_antivary, Antivary.pow_right₀, antivary_neg_left, Antivary.mul_left₀, Antivary.mul_right, antivary_iff_mul_rearrangement, antivary_id_iff, Antivary.comp_right, Antivary.sub_right, Antivary.of_neg, Antivary.sum_mul_lt_sum_comp_perm_mul_iff, antivary_const_right, monovary_toDual_left, Monovary.of_inv_right, Antivary.div_right₀, Antivary.sum_smul_comp_perm_eq_sum_smul_iff, Monovary.comp_antitone_left, antivary_toDual_left, antivary_iff_forall_mul_nonpos, Antivary.nsmul_left, Subsingleton.antivary, Monovary.of_inv_right₀, monovary_inv_left₀, antivary_iff_forall_smul_nonpos, Antivary.div_left₀, Antivary.pow_left₀, antivary_comm, monovary_neg_right, Antivary.comp_monotone_left, monovary_inv_right, antivary_const_left, Antivary.sum_comp_perm_mul_eq_sum_mul_iff, Antivary.symm, Monovary.of_inv_left₀, Monovary.of_neg_right, Antivary.sum_mul_lt_sum_mul_comp_perm_iff, Antivary.div_left, antivary_neg_right, antivary_inv_left₀, monovary_neg_left, Antivary.pow_right, Antivary.of_inv, Antivary.dual, antivary_iff_exists_antitone_monotone, antivary_inv_right, Monovary.neg_left, Antivary.sum_comp_perm_smul_eq_sum_smul_iff
AntivaryOn 📖MathDef
90 mathmath: AntivaryOn.sum_smul_lt_sum_comp_perm_smul_iff, AntivaryOn.subset, AntivaryOn.dual, AntivaryOn.sum_mul_eq_sum_mul_comp_perm_iff, antivaryOn_comm, AntivaryOn.sum_comp_perm_smul_eq_sum_smul_iff, AntivaryOn.div_right₀, MonovaryOn.inv_right, AntivaryOn.mul_left, MonovaryOn.of_inv_right, antivaryOn_toDual_left, antivaryOn_inv_left₀, antivaryOn_inv_right, AntitoneOn.antivaryOn, MonovaryOn.dual_left, antivaryOn_const_left, monovaryOn_inv_right, MonovaryOn.of_neg_left, MonovaryOn.of_inv_left, antivaryOn_neg_left, MonovaryOn.inv_left₀, antivaryOn_univ, AntivaryOn.of_neg, MonovaryOn.inv_right₀, AntivaryOn.div_right, MonovaryOn.dual_right, antivaryOn_iff_exists_monotoneOn_antitoneOn, monovaryOn_toDual_right, AntivaryOn.add_left, AntivaryOn.mul_left₀, monovaryOn_neg_right, AntivaryOn.sum_smul_lt_sum_smul_comp_perm_iff, antivaryOn_inv₀, AntivaryOn.of_inv, AntivaryOn.mul_right₀, AntivaryOn.nsmul_left, AntivaryOn.div_left₀, AntivaryOn.sum_mul_lt_sum_comp_perm_mul_iff, MonovaryOn.of_inv_left₀, AntivaryOn.sum_smul_comp_perm_eq_sum_smul_iff, MonovaryOn.comp_antitoneOn_right, monovaryOn_neg_left, antivaryOn_inv, MonotoneOn.antivaryOn, AntivaryOn.pow_left₀, AntivaryOn.sub_right, antivaryOn_iff_antivary, AntivaryOn.empty, antivaryOn_inv_left, AntivaryOn.sum_mul_lt_sum_mul_comp_perm_iff, antivaryOn_iff_smul_rearrangement, AntivaryOn.comp_right, MonovaryOn.of_inv_right₀, AntivaryOn.pow_right₀, antivaryOn_neg, monovaryOn_inv_left₀, AntivaryOn.sum_comp_perm_mul_eq_sum_mul_iff, antivaryOn_id_iff, antivaryOn_iff_forall_mul_nonpos, AntivaryOn.inv, antivaryOn_toDual_right, AntivaryOn.of_inv₀, MonovaryOn.neg_right, AntivaryOn.div_left, antivaryOn_neg_right, AntivaryOn.comp_monotoneOn_right, AntivaryOn.mul_right, antivaryOn_iff_exists_antitoneOn_monotoneOn, antivaryOn_const_right, AntivaryOn.sub_left, antivaryOn_iff_forall_smul_nonpos, AntivaryOn.neg, antivaryOn_iff_mul_rearrangement, AntivaryOn.inv₀, MonovaryOn.inv_left, MonovaryOn.of_neg_right, antivaryOn_inv_right₀, MonovaryOn.comp_antitone_on_left, AntivaryOn.pow_left, AntivaryOn.symm, AntivaryOn.add_right, MonovaryOn.neg_left, AntivaryOn.nsmul_right, monovaryOn_toDual_left, monovaryOn_inv_right₀, Antivary.antivaryOn, AntivaryOn.comp_monotone_on_left, AntivaryOn.pow_right, monovaryOn_inv_left, Subsingleton.antivaryOn
Monovary 📖MathDef
86 mathmath: Monovary.sum_mul_comp_perm_eq_sum_mul_iff, Antivary.inv_right, monovary_inv, monovary_iff_mul_rearrangement, monovary_inv_left, Antivary.neg_right, Antivary.of_neg_right, Monovary.of_inv, monovary_toDual_right, Monovary.pow_right₀, Monovary.div_right₀, monovary_inv_right₀, Antivary.inv_right₀, monovaryOn_iff_monovary, Monovary.pow_left₀, Antivary.neg_left, Antivary.dual_left, Monovary.sub_right, Antivary.inv_left₀, Monovary.mul_right₀, antivary_inv_right₀, monovary_iff_forall_smul_nonneg, monovary_neg, antivary_toDual_right, monovary_iff_smul_rearrangement, Monovary.sum_comp_perm_smul_lt_sum_smul_iff, monovary_comm, monovary_iff_exists_antitone, Monovary.div_right, Monovary.mul_right, Antivary.of_inv_left₀, monovary_self, Monovary.comp_monotone_left, antivary_inv_left, Antivary.of_inv_left, Monotone.monovary, Monovary.mul_left, Monovary.inv₀, antivary_neg_left, monovary_id_iff, Monovary.sum_comp_perm_mul_eq_sum_mul_iff, monovary_const_left, monovary_const_right, monovaryOn_univ, Monovary.sum_smul_comp_perm_lt_sum_smul_iff, Monovary.nsmul_left, Monovary.sum_comp_perm_mul_lt_sum_mul_iff, monovary_iff_forall_mul_nonneg, Monovary.comp_right, Monovary.inv, Monovary.div_left₀, Monovary.sum_comp_perm_smul_eq_sum_smul_iff, Monovary.add_left, Monovary.of_inv₀, Monovary.add_right, monovary_toDual_left, Monovary.div_left, Monovary.pow_right, Monovary.sum_mul_comp_perm_lt_sum_mul_iff, Monovary.symm, monovary_inv₀, Antivary.of_inv_right, antivary_toDual_left, Antivary.dual_right, Antitone.monovary, Monovary.dual, monovary_inv_left₀, Monovary.pow_left, monovary_neg_right, monovary_inv_right, Monovary.nsmul_right, Monovary.of_neg, Monovary.mul_left₀, Monovary.sub_left, Subsingleton.monovary, antivary_neg_right, Antivary.inv_left, antivary_inv_left₀, monovary_neg_left, antivary_inv_right, Antivary.comp_antitone_left, Antivary.of_inv_right₀, monovary_iff_exists_monotone, Monovary.neg, Monovary.sum_smul_comp_perm_eq_sum_smul_iff, Antivary.of_neg_left
MonovaryOn 📖MathDef
91 mathmath: AntivaryOn.comp_antitoneOn_right, AntivaryOn.of_inv_right₀, monovaryOn_inv₀, MonovaryOn.nsmul_left, MonovaryOn.mul_right, Monovary.monovaryOn, MonovaryOn.mul_right₀, AntivaryOn.neg_left, MonovaryOn.sum_smul_comp_perm_lt_sum_smul_iff, AntivaryOn.inv_left₀, MonovaryOn.pow_right, MonovaryOn.subset, MonovaryOn.symm, antivaryOn_toDual_left, monovaryOn_inv, antivaryOn_inv_left₀, MonovaryOn.div_right₀, AntitoneOn.monovaryOn, AntivaryOn.dual_right, monovaryOn_comm, antivaryOn_inv_right, monovaryOn_neg, monovaryOn_const_right, MonovaryOn.mul_left₀, monovaryOn_iff_forall_smul_nonneg, monovaryOn_iff_monovary, monovaryOn_inv_right, MonovaryOn.pow_right₀, monovaryOn_self, antivaryOn_neg_left, MonovaryOn.add_right, MonovaryOn.sum_mul_comp_perm_eq_sum_mul_iff, MonovaryOn.of_inv, MonovaryOn.empty, MonovaryOn.pow_left, AntivaryOn.of_neg_right, monovaryOn_iff_exists_monotoneOn, monovaryOn_toDual_right, monovaryOn_neg_right, MonovaryOn.of_neg, AntivaryOn.comp_antitone_on_left, MonovaryOn.neg, monovaryOn_iff_smul_rearrangement, monovaryOn_neg_left, MonovaryOn.div_right, antivaryOn_inv_left, MonovaryOn.div_left₀, MonovaryOn.sum_smul_comp_perm_eq_sum_smul_iff, MonovaryOn.of_inv₀, MonovaryOn.comp_monotone_on_left, monovaryOn_univ, MonovaryOn.sum_comp_perm_smul_lt_sum_smul_iff, MonovaryOn.inv₀, AntivaryOn.of_inv_left₀, MonovaryOn.sum_comp_perm_mul_eq_sum_mul_iff, monovaryOn_inv_left₀, MonovaryOn.nsmul_right, Subsingleton.monovaryOn, MonovaryOn.comp_right, monovaryOn_id_iff, AntivaryOn.dual_left, MonotoneOn.monovaryOn, antivaryOn_toDual_right, MonovaryOn.sub_right, MonovaryOn.sum_comp_perm_smul_eq_sum_smul_iff, AntivaryOn.inv_right₀, AntivaryOn.neg_right, AntivaryOn.of_neg_left, antivaryOn_neg_right, MonovaryOn.pow_left₀, monovaryOn_const_left, MonovaryOn.inv, MonovaryOn.add_left, MonovaryOn.div_left, monovaryOn_iff_exists_antitoneOn, monovaryOn_iff_mul_rearrangement, AntivaryOn.of_inv_left, MonovaryOn.comp_monotoneOn_right, AntivaryOn.inv_right, AntivaryOn.inv_left, antivaryOn_inv_right₀, MonovaryOn.dual, MonovaryOn.mul_left, AntivaryOn.of_inv_right, monovaryOn_toDual_left, monovaryOn_inv_right₀, MonovaryOn.sum_mul_comp_perm_lt_sum_mul_iff, MonovaryOn.sum_comp_perm_mul_lt_sum_mul_iff, MonovaryOn.sub_left, monovaryOn_inv_left, monovaryOn_iff_forall_mul_nonneg

Theorems

NameKindAssumesProvesValidatesDepends On
antivaryOn_comm 📖mathematicalAntivaryOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
AntivaryOn.symm
antivaryOn_const_left 📖mathematicalAntivaryOnle_rfl
antivaryOn_const_right 📖mathematicalAntivaryOnLT.lt.ne
antivaryOn_id_iff 📖mathematicalAntivaryOn
PartialOrder.toPreorder
AntitoneOn
antitoneOn_iff_forall_lt
antivaryOn_iff_antivary 📖mathematicalAntivaryOn
Antivary
Set.Elem
Set
Set.instMembership
antivaryOn_toDual_left 📖mathematicalAntivaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
MonovaryOn
antivaryOn_toDual_right 📖mathematicalAntivaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
MonovaryOn
forall₂_comm
antivaryOn_univ 📖mathematicalAntivaryOn
Set.univ
Antivary
antivary_comm 📖mathematicalAntivary
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
Antivary.symm
antivary_const_left 📖mathematicalAntivaryle_rfl
antivary_const_right 📖mathematicalAntivaryLT.lt.ne
antivary_id_iff 📖mathematicalAntivary
PartialOrder.toPreorder
Antitone
antitone_iff_forall_lt
antivary_toDual_left 📖mathematicalAntivary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
Monovary
antivary_toDual_right 📖mathematicalAntivary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
Monovary
monovaryOn_comm 📖mathematicalMonovaryOn
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
MonovaryOn.symm
monovaryOn_const_left 📖mathematicalMonovaryOnle_rfl
monovaryOn_const_right 📖mathematicalMonovaryOnLT.lt.ne
monovaryOn_id_iff 📖mathematicalMonovaryOn
PartialOrder.toPreorder
MonotoneOn
monotoneOn_iff_forall_lt
monovaryOn_iff_monovary 📖mathematicalMonovaryOn
Monovary
Set.Elem
Set
Set.instMembership
monovaryOn_self 📖mathematicalMonovaryOnle_of_lt
monovaryOn_toDual_left 📖mathematicalMonovaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
AntivaryOn
monovaryOn_toDual_right 📖mathematicalMonovaryOn
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
AntivaryOn
forall₂_comm
monovaryOn_univ 📖mathematicalMonovaryOn
Set.univ
Monovary
monovary_comm 📖mathematicalMonovary
PartialOrder.toPreorder
SemilatticeInf.toPartialOrder
Lattice.toSemilatticeInf
DistribLattice.toLattice
instDistribLatticeOfLinearOrder
Monovary.symm
monovary_const_left 📖mathematicalMonovaryle_rfl
monovary_const_right 📖mathematicalMonovaryLT.lt.ne
monovary_id_iff 📖mathematicalMonovary
PartialOrder.toPreorder
Monotone
monotone_iff_forall_lt
monovary_self 📖mathematicalMonovaryle_of_lt
monovary_toDual_left 📖mathematicalMonovary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
Antivary
monovary_toDual_right 📖mathematicalMonovary
OrderDual
OrderDual.instPreorder
DFunLike.coe
Equiv
EquivLike.toFunLike
Equiv.instEquivLike
OrderDual.toDual
Antivary

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