Theorems · Theorem · nonassociative algebras
LieSubalgebra.equivOfLe_apply
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
{K K' : LieSubalgebra R L} (h : K ≤ K') (x : ↥K), (LieSubalgebra.equivOfLe h) x = ⟨(LieSubalgebra.inclusion h) x, ⋯⟩- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 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.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- LieHomstatement · cited by 382
- LieEquivstatement · cited by 86
- LieSubalgebra.ofLestatement · cited by 8
- LieSubalgebra.inclusionstatement · cited by 6
- LieHom.mem_range_selfstatement · cited by 5
- LieSubalgebra.equivOfLestatement · cited by 2
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