Theorems · Definition · group theory
DirectSum.Decomposition.noConfusionType
Sort u →
{ι : Type u_1} →
{M : Type u_3} →
{σ : Type u_4} →
[inst : DecidableEq ι] →
[inst_1 : AddCommMonoid M] →
[inst_2 : SetLike σ M] →
[inst_3 : AddSubmonoidClass σ M] →
{ℳ : ι → σ} →
DirectSum.Decomposition ℳ →
{ι' : Type u_1} →
{M' : Type u_3} →
{σ' : Type u_4} →
[inst' : DecidableEq ι'] →
[inst'_1 : AddCommMonoid M'] →
[inst'_2 : SetLike σ' M'] →
[inst'_3 : AddSubmonoidClass σ' M'] →
{ℳ' : ι' → σ'} → DirectSum.Decomposition ℳ' → Sort u- Defined in
- Mathlib.Algebra.DirectSum.Decomposition
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- SetLikestatement and proof · cited by 1,084
- DirectSumproof · cited by 446
- AddSubmonoidClassstatement and proof · cited by 346
- DirectSum.Decompositionstatement and proof · cited by 57
- DirectSum.coeAddMonoidHomproof · cited by 8
- DirectSum.Decomposition.casesOnproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- DirectSum.Decomposition.noConfusionstatement · cited by 0