Theorems · Theorem · commutative algebra

HomogeneousLocalization.val_one

∀ {ι : Type u_1} {A : Type u_2} {σ : Type u_3} [inst : CommRing A] [inst_1 : SetLike σ A]
  [inst_2 : AddSubgroupClass σ A] [inst_3 : AddCommMonoid ι] [inst_4 : DecidableEq ι] {𝒜 : ι → σ}
  [inst_5 : GradedRing 𝒜] {x : Submonoid A}, HomogeneousLocalization.val 1 = 1

Defined in

Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization

Cited by

6 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext

Assumes

CommRingSetLikeAddSubgroupClassAddCommMonoidDecidableEqGradedRing