Theorems · Theorem · number theory
Even.add_odd
∀ {α : Type u_2} [inst : Semiring α] {a b : α}, Even a → Odd b → Odd (a + b)- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 7 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by7
Results whose statement or proof uses this declaration.
- Even.add_oneproof · cited by 8
- Even.sub_oddproof · cited by 3
- Fin.odd_of_oddproof · cited by 1
- Even.odd_addproof · cited by 1
- Int.two_pow_sub_powproof · cited by 1
- Odd.add_evenproof · cited by 1
- even_sub_oneproof · cited by 0