Theorems · Theorem · linear algebra
Finsupp.disjoint_lsingle_lsingle
∀ {α : Type u_1} {M : Type u_2} {R : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(s t : Set α), Disjoint s t → Disjoint (⨆ a ∈ s, (Finsupp.lsingle a).range) (⨆ a ∈ t, (Finsupp.lsingle a).range)- Defined in
- Mathlib.LinearAlgebra.Finsupp.Span
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Submodulestatement · cited by 7,192
- Finsuppstatement · cited by 5,255
- Compl.complproof · cited by 2,925
- iSupstatement · cited by 2,415
- Disjointstatement and proof · cited by 2,201
- le_transproof · cited by 985
- LinearMap.rangestatement · cited by 893
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