Theorems · Theorem · ring theory
QuaternionAlgebra.Basis.k_compHom
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Ring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B] {c₁ c₂ c₃ : R} (q : QuaternionAlgebra.Basis A c₁ c₂ c₃) (F : A →ₐ[R] B),
(q.compHom F).k = F q.k- Defined in
- Mathlib.Algebra.QuaternionBasis
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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
- QuaternionAlgebra.Basisstatement and proof · cited by 28
- QuaternionAlgebra.Basis.kstatement and proof · cited by 16
- QuaternionAlgebra.Basis.compHomstatement and proof · cited by 4
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