Theorems · Theorem · nonassociative algebras
LieIdeal.coe_killingCompl_top
∀ (R : Type u_1) (L : Type u_3) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L], (LieIdeal.toLieSubalgebra R L (LieIdeal.killingCompl R L ⊤)).toSubmodule = LinearMap.ker (killingForm R L)
- Defined in
- Mathlib.Algebra.Lie.TraceForm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Top.topstatement · cited by 9,680
- Submodulestatement · cited by 7,192
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LinearMap.kerstatement · cited by 848
- LieIdealstatement · cited by 282
- Submodule.extproof · cited by 204
- LieSubalgebra.toSubmodulestatement · cited by 90
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