Theorems · Theorem · nonassociative algebras
LieEquiv.ofEq_apply
∀ {R : Type u} {L₁ : Type v} [inst : CommRing R] [inst_1 : LieRing L₁] [inst_2 : LieAlgebra R L₁]
(L L' : LieSubalgebra R L₁) (h : ↑L = ↑L') (x : ↥L), ↑((LieEquiv.ofEq L L' h) x) = ↑x- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- SetLike.coestatement and proof · cited by 8,199
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- LieEquivstatement · cited by 86
- LieEquiv.ofEqstatement · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.Orthogonal.soIndefiniteEquiv_applyproof · cited by 0