Theorems · Theorem · linear algebra
DFinsupp.iSup_range_lsingle
∀ {ι : Type u_1} {R : Type u_3} {M : ι → Type u_5} [inst : Semiring R] [inst_1 : (i : ι) → AddCommMonoid (M i)]
[inst_2 : (i : ι) → Module R (M i)] [inst_3 : DecidableEq ι], ⨆ i, (DFinsupp.lsingle i).range = ⊤- Defined in
- Mathlib.LinearAlgebra.DFinsupp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapproof · cited by 10,215
- Top.topstatement and proof · cited by 9,680
- Submodulestatement · cited by 7,192
- iSupstatement and proof · cited by 2,415
- LinearMap.rangestatement and proof · cited by 893
- DFinsuppstatement and proof · cited by 694
- top_le_iffproof · cited by 175
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