Theorems · Theorem · group theory
FreeMonoid.hom_eq_iff
∀ {α : Type u_1} {M : Type u_4} [inst : Monoid M] {f g : FreeMonoid α →* M},
f = g ↔ ∀ (x : α), f (FreeMonoid.of x) = g (FreeMonoid.of x)- Defined in
- Mathlib.Algebra.FreeMonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- FreeMonoidstatement and proof · cited by 147
- FreeMonoid.ofstatement and proof · cited by 69
- FreeMonoid.hom_eqproof · cited by 7
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