Theorems · Theorem · linear algebra
Finsupp.supported_union
∀ {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), Finsupp.supported M R (s ∪ t) = Finsupp.supported M R s ⊔ Finsupp.supported M R t- Defined in
- Mathlib.LinearAlgebra.Finsupp.Supported
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Submodulestatement and proof · cited by 7,192
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportedstatement and proof · cited by 77
- Set.union_eq_iUnionproof · cited by 28
- iSup_bool_eqproof · cited by 12
- Finsupp.supported_iUnionproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Finsupp.codisjoint_supported_supportedproof · cited by 2
- Finsupp.codisjoint_supported_supported_iffproof · cited by 0