Theorems · Theorem · number theory
Odd.mul
∀ {α : Type u_2} [inst : Semiring α] {a b : α}, Odd a → Odd b → Odd (a * b)- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- add_assocproof · cited by 746
- mul_addproof · cited by 413
- Oddstatement and proof · cited by 364
- add_mulproof · cited by 363
- Nat.cast_twoproof · cited by 32
- Nat.cast_commproof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- Odd.powproof · cited by 7
- IsCyclotomicExtension.discr_prime_pow_ne_twoproof · cited by 4
- DihedralGroup.commProb_reciprocalproof · cited by 0