Theorems · Theorem · nonassociative algebras
AlgHom.toLieHom_comp
∀ {A : Type v} [inst : Ring A] {R : Type u} [inst_1 : CommRing R] [inst_2 : Algebra R A] {B : Type w} {C : Type w₁}
[inst_3 : Ring B] [inst_4 : Ring C] [inst_5 : Algebra R B] [inst_6 : Algebra R C] (f : A →ₐ[R] B) (g : B →ₐ[R] C),
(g.comp f).toLieHom = g.toLieHom.comp f.toLieHom- Defined in
- Mathlib.Algebra.Lie.OfAssociative
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- AlgHomstatement and proof · cited by 3,236
- AlgHom.compstatement · cited by 501
- LieHomstatement · cited by 382
- LieRing.ofAssociativeRingstatement · cited by 227
- LieHom.compstatement · cited by 19
- AlgHom.toLieHomstatement · cited by 8
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