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Theorems · Inductive type · ring theory

SetLike.GradedSMul

{ιA : Type u_1} →
  {ιB : Type u_2} →
    {S : Type u_5} →
      {R : Type u_6} →
        {N : Type u_7} →
          {M : Type u_8} → [SetLike S R] → [SetLike N M] → [SMul R M] → [VAdd ιA ιB] → (ιA → S) → (ιB → N) → Prop

A version of GradedMonoid.GSMul for internally graded objects.

Defined in
Mathlib.Algebra.GradedMulAction
Cited by
15 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
SetLikeSetLikeSMulVAdd

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • SetLikestatement · cited by 1,084
  • VAddstatement · cited by 616

Cited by29

Results whose statement or proof uses this declaration.