Theorems · Theorem · nonassociative algebras
LieIdeal.incl_coe
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L),
↑I.incl = (LieIdeal.toLieSubalgebra R L I).subtype- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, 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.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Submodule.subtypestatement · cited by 480
- LieIdealstatement and proof · cited by 282
- LieSubalgebra.toSubmodulestatement · cited by 90
- LieHom.toLinearMapstatement · cited by 74
- LieIdeal.toLieSubalgebrastatement · cited by 48
- LieIdeal.inclstatement · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- LieIdeal.comap_incl_eq_botproof · cited by 0
- LieIdeal.comap_incl_eq_topproof · cited by 0