Theorems · Theorem · nonassociative algebras
LieSubmodule.span_iUnion
∀ (R : Type u) (L : Type v) {M : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : AddCommGroup M]
[inst_3 : Module R M] [inst_4 : LieRingModule L M] {ι : Sort u_1} (s : ι → Set M),
LieSubmodule.lieSpan R L (⋃ i, s i) = ⨆ i, LieSubmodule.lieSpan R L (s i)- Defined in
- Mathlib.Algebra.Lie.Submodule
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Set.iUnionstatement · cited by 2,483
- iSupstatement · cited by 2,415
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement · cited by 489
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_iSupproof · cited by 78
- LieSubmodule.lieSpanstatement · cited by 22
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