Theorems · Theorem · group theory
AddIrreducible.not_even
∀ {M : Type u_2} [inst : AddMonoid M] {x : M}, AddIrreducible x → ¬Even x- Defined in
- Mathlib.Algebra.Group.Irreducible.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- Evenstatement · cited by 444
- AddIrreduciblestatement and proof · cited by 24
- even_iff_exists_two_nsmulproof · cited by 6
- not_addIrreducible_nsmulproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Even.not_addIrreducibleproof · cited by 0