Theorems · Theorem · commutative algebra

HomogeneousSubsemiring.mk.congr_simp

∀ {ι : Type u_1} {σ : Type u_2} {A : Type u_3} [inst : AddMonoid ι] [inst_1 : Semiring A] [inst_2 : SetLike σ A]
  [inst_3 : AddSubmonoidClass σ A] {𝒜 : ι → σ} [inst_4 : DecidableEq ι] [inst_5 : GradedRing 𝒜]
  (toSubsemiring toSubsemiring_1 : Subsemiring A) (e_toSubsemiring : toSubsemiring = toSubsemiring_1)
  (is_homogeneous' : DirectSum.SetLike.IsHomogeneous 𝒜 toSubsemiring),
  { toSubsemiring := toSubsemiring, is_homogeneous' := is_homogeneous' } =
    { toSubsemiring := toSubsemiring_1, is_homogeneous' := ⋯ }

Defined in

Mathlib.RingTheory.GradedAlgebra.Homogeneous.Subsemiring

Cited by

1 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidSemiringSetLikeAddSubmonoidClassDecidableEqGradedRing