Mathlib Map

Theorems · Theorem · nonassociative algebras

LieAlgebra.Basis.nondegen

∀ {ι : Type u_1} {R : Type u_2} {L : Type u_3} [inst : Finite ι] [inst_1 : CommRing R] [inst_2 : LieRing L]
  [inst_3 : LieAlgebra R L] {H : LieSubalgebra R L} (self : LieAlgebra.Basis ι H), self.A.Nondegenerate
Defined in
Mathlib.Algebra.Lie.Basis.Basic
Cited by
1 results in Mathlib
Foundations
Depth 37 from the axioms · uses propext
Assumes
FiniteCommRingLieRingLieAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LieAlgebra.Basis.symm · cited by 9Basis.symmLieAlgebra.Basis.linearIndependent_baseSupp · cited by 3Basis.linearIndependent_b…CommRing · cited by 17173CommRingFinite · cited by 3029FiniteLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraMatrix.Nondegenerate · cited by 49Matrix.NondegenerateLieAlgebra.Basis · cited by 44LieAlgebra.BasisLieAlgebra.Basis.A · cited by 14Basis.ABasis.nondegenCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.