Basic

📁 Source: Batteries/Data/Char/Basic.lean

Statistics

Metric	Count
Definitions all, any, count, instDecidableExistsOfDecidablePred_batteries, instDecidableForallOfDecidablePred_batteries, max, maxSurrogate, minSurrogate	8
Theorems all_eq_true_iff_forall_eq_true, any_eq_true_iff_exists_eq_true, eq_false_of_any_eq_false, eq_true_of_all_eq_true, exists_eq_false_of_all_eq_false, exists_eq_true_of_any_eq_true, instLawfulOrd, le_antisymm_iff, ofNat_toNat_eq_val, toNat_le_max, toNat_mk, toNat_not_surrogate, toNat_ofNat, toNat_ofNatAux, toNat_val, val_ofNat	16
Total	24

Char

Definitions

Name	Category	Theorems
all 📖	CompOp	1 bridge bridge: all_eq_true_iff_forall_eq_true
any 📖	CompOp	1 bridge bridge: any_eq_true_iff_exists_eq_true
count 📖	CompOp	—
instDecidableExistsOfDecidablePred_batteries 📖	CompOp	—
instDecidableForallOfDecidablePred_batteries 📖	CompOp	—
max 📖	CompOp	1 math math: toNat_le_max
maxSurrogate 📖	CompOp	1 math math: toNat_not_surrogate
minSurrogate 📖	CompOp	1 math math: toNat_not_surrogate

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
all_eq_true_iff_forall_eq_true 📖	bridging (iff)	—	all	all	eq_true_of_all_eq_true exists_eq_false_of_all_eq_false
any_eq_true_iff_exists_eq_true 📖	bridging (iff)	—	any	any	exists_eq_true_of_any_eq_true eq_false_of_any_eq_false
eq_false_of_any_eq_false 📖	bridging (sound)	any	—	any	—
eq_true_of_all_eq_true 📖	bridging (sound)	all	—	all	—
exists_eq_false_of_all_eq_false 📖	bridging (sound)	all	—	all	—
exists_eq_true_of_any_eq_true 📖	bridging (sound)	any	—	any	—
instLawfulOrd 📖	mathematical	—	Std.LawfulOrd	—	Std.LawfulCmp.compareOfLessAndEq_of_irrefl_of_trans_of_not_lt_of_antisymm
le_antisymm_iff 📖	—	—	—	—	—
ofNat_toNat_eq_val 📖	—	—	—	—	toNat_val
toNat_le_max 📖	mathematical	—	max	—	—
toNat_mk 📖	—	—	—	—	—
toNat_not_surrogate 📖	mathematical	—	minSurrogate maxSurrogate	—	—
toNat_ofNat 📖	—	—	—	—	toNat_ofNatAux
toNat_ofNatAux 📖	—	—	—	—	—
toNat_val 📖	—	—	—	—	—
val_ofNat 📖	—	—	—	—	—

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