Theorems · Theorem · nonassociative algebras
LieSubalgebra.span_iUnion
∀ (R : Type u) {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {ι : Sort u_1}
(s : ι → Set L), LieSubalgebra.lieSpan R L (⋃ i, s i) = ⨆ i, LieSubalgebra.lieSpan R L (s i)- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
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Cites11
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
- CommRingstatement and proof · cited by 17,173
- Set.iUnionstatement · cited by 2,483
- iSupstatement · cited by 2,415
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement · cited by 418
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_iSupproof · cited by 78
- LieSubalgebra.lieSpanstatement · cited by 33
- LieSubalgebra.giproof · cited by 3
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