Documentation Verification Report

Parity

📁 Source: Mathlib/Algebra/Ring/Int/Parity.lean

Statistics

MetricCount
DefinitionsinstDecidablePredOdd
1
TheoremsnatAbs, of_mul_left, of_mul_right, add_one_ediv_two_mul_two_of_odd, coe_nat_two_pow_pred, ediv_two_mul_two_add_one_of_odd, even_add', even_mul_pred_self, even_mul_succ_self, even_or_odd, even_or_odd', even_sign_iff, even_sub', even_xor'_odd, even_xor'_odd', four_dvd_add_or_sub_of_odd, isSquare_natCast_iff, isSquare_ofNat_iff, natAbs_even, natAbs_odd, natCast_pow_pred, ne_of_odd_add, not_even_iff_odd, not_even_two_mul_add_one, not_odd_iff, not_odd_iff_even, not_odd_zero, odd_add, odd_add', odd_coe_nat, odd_iff, odd_mul, odd_pow, odd_pow', odd_sign_iff, odd_sub, odd_sub', two_dvd_mul_add_one, two_mul_ediv_two_add_one_of_odd, two_mul_ediv_two_of_odd, natAbs
41
Total42

Even

Theorems

NameKindAssumesProvesValidatesDepends On
natAbs 📖EvenInt.natAbs_even

Int

Definitions

NameCategoryTheorems
instDecidablePredOdd 📖CompOp

Theorems

NameKindAssumesProvesValidatesDepends On
add_one_ediv_two_mul_two_of_odd 📖Odd
instSemiring
coe_nat_two_pow_pred 📖mathematicalMonoid.toNatPow
Nat.instMonoid
instMonoid
natCast_pow_pred
ediv_two_mul_two_add_one_of_odd 📖Odd
instSemiring
even_add' 📖mathematicalEven
Odd
instSemiring
even_mul_pred_self 📖mathematicalEven
even_mul_succ_self 📖mathematicalEven
even_or_odd 📖mathematicalEven
Odd
instSemiring
even_or_odd' 📖two_mul
even_or_odd
even_sign_iff 📖mathematicalEven
even_sub' 📖mathematicalEven
Odd
instSemiring
even_xor'_odd 📖mathematicalXor'
Even
Odd
instSemiring
even_xor'_odd' 📖mathematicalXor'even_or_odd
four_dvd_add_or_sub_of_odd 📖Odd
instSemiring
isSquare_natCast_iff 📖mathematicalIsSquareinstCharZero
isSquare_ofNat_iff 📖mathematicalIsSquareisSquare_natCast_iff
natAbs_even 📖mathematicalEven
natAbs_odd 📖mathematicalOdd
Nat.instSemiring
instSemiring
natCast_pow_pred 📖mathematicalMonoid.toNatPow
Nat.instMonoid
instMonoid
Nat.cast_one
instCharZero
ne_of_odd_add 📖Odd
instSemiring
not_even_iff_odd 📖mathematicalEven
Odd
instSemiring
not_even_two_mul_add_one 📖mathematicalEven
not_odd_iff 📖mathematicalOdd
instSemiring
not_odd_iff_even 📖mathematicalOdd
instSemiring
Even
not_odd_zero 📖mathematicalOdd
instSemiring
odd_add 📖mathematicalOdd
instSemiring
Even
odd_add' 📖mathematicalOdd
instSemiring
Even
odd_coe_nat 📖mathematicalOdd
instSemiring
Nat.instSemiring
odd_iff 📖mathematicalOdd
instSemiring
odd_mul 📖mathematicalOdd
instSemiring
odd_pow 📖mathematicalOdd
instSemiring
Monoid.toNatPow
instMonoid
odd_pow' 📖mathematicalOdd
instSemiring
Monoid.toNatPow
instMonoid
odd_sign_iff 📖mathematicalOdd
instSemiring
odd_sub 📖mathematicalOdd
instSemiring
Even
odd_sub' 📖mathematicalOdd
instSemiring
Even
two_dvd_mul_add_one 📖Nat.instAtLeastTwoHAddOfNat
even_iff_two_dvd
even_mul_succ_self
two_mul_ediv_two_add_one_of_odd 📖Odd
instSemiring
two_mul_ediv_two_of_odd 📖Odd
instSemiring

Int.Odd

Theorems

NameKindAssumesProvesValidatesDepends On
of_mul_left 📖Odd
Int.instSemiring
Int.odd_mul
of_mul_right 📖Odd
Int.instSemiring
Int.odd_mul

Odd

Theorems

NameKindAssumesProvesValidatesDepends On
natAbs 📖mathematicalOdd
Int.instSemiring
Nat.instSemiringInt.natAbs_odd

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