Theorems · Theorem · number theory
Even.mul_left
∀ {α : Type u_2} [inst : Add α] [inst_1 : Mul α] {a : α} [LeftDistribClass α], Even a → ∀ (b : α), Even (b * a)- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- AddMulLeftDistribClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Evenstatement and proof · cited by 444
- mul_addproof · cited by 413
- LeftDistribClassstatement and proof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Even.pow_of_ne_zeroproof · cited by 3