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) → PropA 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
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.
Cited by29
Results whose statement or proof uses this declaration.
- HomogeneousSubmodule.toSubmodulestatement and proof · cited by 17
- HomogeneousSubmodulestatement · cited by 12
- HomogeneousSubmodule.is_homogeneous'statement and proof · cited by 4
- HomogeneousSubmodule.extstatement and proof · cited by 2
- HomogeneousSubmodule.toSubmodule_injectivestatement and proof · cited by 2
- HomogeneousSubmodule.mk.congr_simpstatement and proof · cited by 1
- HomogeneousSubmodule.mk.injstatement and proof · cited by 1
- HomogeneousSubmodule.mk.noConfusionstatement and proof · cited by 1
- HomogeneousSubmodule.ext'statement and proof · cited by 1
- HomogeneousSubmodule.isHomogeneousstatement and proof · cited by 1
- SetLike.GradedSMul.smul_memstatement and proof · cited by 1
- SetLike.coe_GSMulstatement and proof · cited by 0