Theorems · Theorem · group theory
even_iff_exists_two_nsmul
∀ {α : Type u_2} [inst : AddMonoid α] (a : α), Even a ↔ ∃ r, a = 2 • r- Defined in
- Mathlib.Algebra.Group.Even
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- AddMonoid
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.
Cited by6
Results whose statement or proof uses this declaration.
- Nat.div_two_mul_two_of_evenproof · cited by 2
- AddIrreducible.not_evenproof · cited by 1
- Even.exists_two_nsmulproof · cited by 0
- Finset.even_sumproof · cited by 0
- Complex.isPrimitiveRoot_exp_rat_of_even_numproof · cited by 0
- Nat.two_mul_div_two_of_evenproof · cited by 0