Theorems · Theorem · nonassociative algebras
LieSubalgebra.coe_toSubmodule
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (L' : LieSubalgebra R L),
↑L'.toSubmodule = ↑L'- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- SetLike.coestatement · cited by 8,199
- Submodulestatement · cited by 7,192
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- LieSubalgebra.toSubmodulestatement · cited by 90
Cited by5
Results whose statement or proof uses this declaration.
- LieIdeal.incl_idealRangeproof · cited by 3
- LieHom.idealRange_eq_top_of_surjectiveproof · cited by 3
- LieSubalgebra.submodule_span_le_lieSpanproof · cited by 2
- LieSubalgebra.coe_sInfproof · cited by 2
- LieSubalgebra.coe_lieSpan_submodule_eq_iffproof · cited by 0