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Theorems · Theorem · nonassociative algebras

LieSubalgebra.lieSpan_mono

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {s t : Set L},
  s ⊆ t → LieSubalgebra.lieSpan R L s ≤ LieSubalgebra.lieSpan R L t
Defined in
Mathlib.Algebra.Lie.Subalgebra
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Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebra
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Set · cited by 53352SetCommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraSet.Subset.trans · cited by 218Subset.transLieSubalgebra.lieSpan · cited by 33LieSubalgebra.lieSpanLieSubalgebra.subset_lieSpan · cited by 19LieSubalgebra.subset_lieS…LieSubalgebra.lieSpan_le · cited by 7LieSubalgebra.lieSpan_leLieSubalgebra.lieSpan_monoCITED BYCITES

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