Theorems · Theorem · nonassociative algebras
LieIdeal.incl_idealRange
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L),
I.incl.idealRange = I- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 67 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.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- SetLike.coeproof · cited by 8,199
- Submoduleproof · cited by 7,192
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebraproof · cited by 418
- LieIdealstatement and proof · cited by 282
- LieSubmodule.toSubmoduleproof · cited by 150
- LieSubalgebra.toSubmoduleproof · cited by 90
- LieHom.rangeproof · cited by 44
- LieSubmodule.toSubmodule_injproof · cited by 34
Cited by3
Results whose statement or proof uses this declaration.
- LieIdeal.incl_isIdealMorphismproof · cited by 2
- LieIdeal.map_comap_inclproof · cited by 1
- LieIdeal.comap_bracket_inclproof · cited by 1