Theorems · Theorem · nonassociative algebras
LieSubalgebra.lieSpan_lieSpan_coe_preimage
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {s : Set L},
LieSubalgebra.lieSpan R (↥(LieSubalgebra.lieSpan R L s)) (Subtype.val ⁻¹' s) = ⊤- 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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Cites15
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
- Top.topstatement and proof · cited by 9,680
- Set.preimagestatement and proof · cited by 4,946
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement · cited by 418
- eq_top_iffproof · cited by 236
- AddMemClass.add_memproof · cited by 229
- ZeroMemClass.zero_memproof · cited by 162
- LieSubalgebra.lieSpanstatement and proof · cited by 33
- LieSubalgebra.subset_lieSpanproof · cited by 19
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