Theorems · Theorem · commutative algebra

GradedRingHom.gradedZeroRingHom_apply_coe

∀ {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} [inst_4 : AddSubmonoidClass σ A]
  [inst_5 : AddSubmonoidClass τ B] [inst_6 : AddMonoid ι] [inst_7 : SetLike.GradedMonoid 𝒜]
  [inst_8 : SetLike.GradedMonoid ℬ] (f : 𝒜 →+*ᵍ ℬ) (a : ↥(𝒜 0)), ↑(f.gradedZeroRingHom a) = f ↑a

Defined in

Mathlib.RingTheory.GradedAlgebra.RingHom

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

SemiringSemiringSetLikeSetLikeAddSubmonoidClassAddSubmonoidClassAddMonoidSetLike.GradedMonoidSetLike.GradedMonoid