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Theorems · Theorem · nonassociative algebras

LieEquiv.trans_apply

∀ {R : Type u} {L₁ : Type v} {L₂ : Type w} {L₃ : Type w₁} [inst : CommRing R] [inst_1 : LieRing L₁]
  [inst_2 : LieRing L₂] [inst_3 : LieRing L₃] [inst_4 : LieAlgebra R L₁] [inst_5 : LieAlgebra R L₂]
  [inst_6 : LieAlgebra R L₃] (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L₃) (x : L₁), (e₁.trans e₂) x = e₂ (e₁ x)
Defined in
Mathlib.Algebra.Lie.Basic
Cited by
1 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
Assumes
CommRingLieRingLieRingLieRingLieAlgebraLieAlgebraLieAlgebra
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Around this declaration

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

LieAlgebra.Orthogonal.soIndefiniteEquiv_apply · cited by 0Orthogonal.soIndefiniteEq…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieEquiv · cited by 86LieEquivLieEquiv.trans · cited by 5LieEquiv.transLieEquiv.trans_applyCITED BYCITES

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Cited by1

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