Theorems · Theorem · nonassociative algebras
LieIdeal.map_comap_incl
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {I₁ I₂ : LieIdeal R L},
LieIdeal.map I₁.incl (LieIdeal.comap I₁.incl I₂) = I₁ ⊓ I₂- Defined in
- Mathlib.Algebra.Lie.IdealOperations
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 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.mapstatement and proof · cited by 33
- LieIdeal.comapstatement and proof · cited by 21
- LieHom.idealRangeproof · cited by 17
- LieIdeal.inclstatement and proof · cited by 17
- LieIdeal.incl_idealRangeproof · cited by 3
- LieIdeal.incl_isIdealMorphismproof · cited by 2
- LieIdeal.map_comap_eqproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- LieIdeal.derivedSeries_eq_derivedSeriesOfIdeal_mapproof · cited by 1