Theorems · Theorem · nonassociative algebras
LieIdeal.incl_isIdealMorphism
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L),
I.incl.IsIdealMorphism- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 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.
Cites11
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
- LieIdealstatement and proof · cited by 282
- LieIdeal.toLieSubalgebraproof · cited by 48
- LieHom.rangeproof · cited by 44
- LieIdeal.inclstatement and proof · cited by 17
- LieHom.IsIdealMorphismstatement · cited by 10
- LieHom.isIdealMorphism_defproof · cited by 4
- LieIdeal.incl_idealRangeproof · cited by 3
- LieSubalgebra.incl_rangeproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- LieIdeal.map_comap_inclproof · cited by 1
- LieIdeal.comap_bracket_inclproof · cited by 1