Theorems · Theorem · ring theory
DirectSum.IsInternal.addSubmonoid_iSupIndep
∀ {ι : Type v} [dec_ι : DecidableEq ι] {M : Type u_2} [inst : AddCommMonoid M] {A : ι → AddSubmonoid M},
DirectSum.IsInternal A → iSupIndep A- Defined in
- Mathlib.Algebra.DirectSum.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddCommMonoid
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- AddSubmonoidstatement and proof · cited by 1,178
- Function.Bijective.injectiveproof · cited by 115
- iSupIndepstatement · cited by 100
- DirectSum.IsInternalstatement and proof · cited by 65
- iSupIndep_of_dfinsuppSumAddHom_injectiveproof · cited by 1
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