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Theorems · Theorem · group theory

DirectSum.Decomposition.left_inv

∀ {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} [self : DirectSum.Decomposition ℳ],
  Function.LeftInverse (⇑(DirectSum.coeAddMonoidHom ℳ)) DirectSum.Decomposition.decompose'
Defined in
Mathlib.Algebra.DirectSum.Decomposition
Cited by
1 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DirectSum.Decomposition
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Around this declaration

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

DirectSum.decompose · cited by 93DirectSum.decomposeDirectSum.Decomposition.isInternal · cited by 6Decomposition.isInternalDFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidAddMonoidHom · cited by 3230AddMonoidHomSetLike · cited by 1084SetLikeDirectSum · cited by 446DirectSumAddSubmonoidClass · cited by 346AddSubmonoidClassDirectSum.Decomposition · cited by 57DirectSum.DecompositionDirectSum.coeAddMonoidHom · cited by 8DirectSum.coeAddMonoidHomDirectSum.Decomposition.decompose' · cited by 7Decomposition.decompose'Decomposition.left_invCITED BYCITES

Cites9

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Cited by2

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