Theorems · Definition · nonassociative algebras
LieAlgebra.IsKilling.recOn
{R : Type u_1} →
{L : Type u_3} →
[inst : CommRing R] →
[inst_1 : LieRing L] →
[inst_2 : LieAlgebra R L] →
{motive : LieAlgebra.IsKilling R L → Sort u} →
(t : LieAlgebra.IsKilling R L) →
((killingCompl_top_eq_bot : LieIdeal.killingCompl R L ⊤ = ⊥) → motive ⋯) → motive t- Defined in
- Mathlib.Algebra.Lie.Killing
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 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.
Cites8
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
- Top.topstatement and proof · cited by 9,680
- Bot.botstatement and proof · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieIdealstatement · cited by 282
- LieAlgebra.IsKillingstatement and proof · cited by 122
- LieIdeal.killingComplstatement and proof · cited by 8
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