Theorems · Theorem · nonassociative algebras

LieAlgebra.corootSpace.congr_simp

∀ {R : Type u_1} {L : Type u_2} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  {H : LieSubalgebra R L} [inst_3 : LieRing.IsNilpotent ↥H] [inst_4 : H.IsCartanSubalgebra] [inst_5 : IsNoetherian R L]
  (α α_1 : ↥H → R), α = α_1 → LieAlgebra.corootSpace α = LieAlgebra.corootSpace α_1

Defined in

Mathlib.Algebra.Lie.Weights.Cartan

Cited by

1 results in Mathlib

Foundations

Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraLieRing.IsNilpotentLieSubalgebra.IsCartanSubalgebraIsNoetherian