Theorems · Theorem · nonassociative algebras
LieSubalgebra.incl_range
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (K : LieSubalgebra R L),
K.incl.range = K- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- LieSubalgebra.toSubmoduleproof · cited by 90
- Submodule.range_subtypeproof · cited by 82
- LieHom.rangestatement and proof · cited by 44
- LieSubalgebra.toSubmodule_injproof · cited by 8
- LieSubalgebra.inclstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- LieIdeal.incl_isIdealMorphismproof · cited by 2
- LieIdeal.incl_rangeproof · cited by 2