Documentation Verification Report

Basic

📁 Source: Mathlib/Data/Bool/Basic.lean

Statistics

MetricCount
Definitionscarry, linearOrder, ofNat, xor3
4
Theoremsand_elim_left, and_elim_right, and_eq_false_eq_eq_false_or_eq_false, and_eq_true_eq_eq_true_and_eq_true, and_intro, and_le_left, and_le_right, apply_apply_apply, bne_eq_xor, bool_eq_false, bool_iff_false, coe_false, coe_sort_false, coe_sort_true, coe_true, coe_xor_iff, decide_congr, decide_false, decide_false_iff, decide_iff, decide_true, dichotomy, eq_false_eq_not_eq_true, eq_false_of_not_eq_true, eq_false_of_not_eq_true', eq_not_iff, eq_or_eq_not, eq_true_eq_not_eq_false, eq_true_of_not_eq_false, eq_true_of_not_eq_false', false_eq_true_eq_False, false_lt_true, injective_iff, le_and, le_iff_imp, left_le_or, lt_iff, ne_not, not_eq_false_eq_eq_true, not_eq_iff, not_eq_true_eq_eq_false, not_iff_not, not_ne_id, not_ne_self, ofNat_add_one, ofNat_le_ofNat, ofNat_toNat, ofNat_zero, of_decide_false, of_decide_true, or_eq_false_eq_eq_false_and_eq_false, or_eq_true_eq_eq_true_or_eq_true, or_inl, or_inr, or_le, right_le_or, self_ne_not, toNat_beq_one, toNat_beq_zero, toNat_bne_one, toNat_bne_zero, toNat_le_toNat, true_eq_false_eq_False, xor_iff_ne
64
Total68

Bool

Definitions

NameCategoryTheorems
carry 📖CompOp
linearOrder 📖CompOp
ofNat 📖CompOp
2 math, 2 bridgemath: ofNat_le_ofNat, ofNat_toNat
bridge: ofNat_zero, ofNat_add_one
xor3 📖CompOp

Theorems

NameKindAssumesProvesValidatesDepends On
and_elim_left 📖
and_elim_right 📖
and_eq_false_eq_eq_false_or_eq_false 📖
and_eq_true_eq_eq_true_and_eq_true 📖
and_intro 📖
and_le_left 📖
and_le_right 📖
apply_apply_apply 📖
bne_eq_xor 📖
bool_eq_false 📖bool_iff_false
bool_iff_false 📖
coe_false 📖
coe_sort_false 📖
coe_sort_true 📖
coe_true 📖
coe_xor_iff 📖mathematicalXor'
decide_congr 📖
decide_false 📖decide_false_iff
decide_false_iff 📖bool_iff_false
decide_iff
decide_iff 📖
decide_true 📖decide_iff
dichotomy 📖
eq_false_eq_not_eq_true 📖
eq_false_of_not_eq_true 📖eq_false_eq_not_eq_true
eq_false_of_not_eq_true' 📖
eq_not_iff 📖
eq_or_eq_not 📖
eq_true_eq_not_eq_false 📖
eq_true_of_not_eq_false 📖eq_true_eq_not_eq_false
eq_true_of_not_eq_false' 📖
false_eq_true_eq_False 📖
false_lt_true 📖lt_iff
injective_iff 📖
le_and 📖
le_iff_imp 📖
left_le_or 📖
lt_iff 📖
ne_not 📖
not_eq_false_eq_eq_true 📖
not_eq_iff 📖
not_eq_true_eq_eq_false 📖
not_iff_not 📖
not_ne_id 📖
not_ne_self 📖
ofNat_add_one 📖bridging (complete)ofNatofNat
ofNat_le_ofNat 📖mathematicalofNat
ofNat_toNat 📖mathematicalofNat
ofNat_zero 📖bridging (complete)ofNatofNat
of_decide_false 📖decide_false_iff
of_decide_true 📖decide_iff
or_eq_false_eq_eq_false_and_eq_false 📖
or_eq_true_eq_eq_true_or_eq_true 📖
or_inl 📖
or_inr 📖
or_le 📖
right_le_or 📖
self_ne_not 📖
toNat_beq_one 📖
toNat_beq_zero 📖
toNat_bne_one 📖toNat_beq_one
toNat_bne_zero 📖toNat_beq_zero
toNat_le_toNat 📖
true_eq_false_eq_False 📖
xor_iff_ne 📖

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