Theorems · Theorem · commutative algebra

GradedRingHom.ext

∀ {ι : Type u_1} {A : Type u_2} {B : Type u_3} {σ : Type u_6} {τ : Type u_7} [inst : Semiring A] [inst_1 : Semiring B]
  [inst_2 : SetLike σ A] [inst_3 : SetLike τ B] {𝒜 : ι → σ} {ℬ : ι → τ} ⦃f g : 𝒜 →+*ᵍ ℬ⦄, (∀ (x : A), f x = g x) → f = g

Defined in

Mathlib.RingTheory.GradedAlgebra.RingHom

Cited by

7 results in Mathlib

Foundations

Depth 21 from the axioms · uses Quot.sound

Assumes

SemiringSemiringSetLikeSetLike