Theorems · Theorem · functional analysis
ContinuousAlgHom.id_comp
∀ {R : Type u_1} [inst : CommSemiring R] {A : Type u_2} [inst_1 : Semiring A] [inst_2 : TopologicalSpace A]
{B : Type u_3} [inst_3 : Semiring B] [inst_4 : TopologicalSpace B] [inst_5 : Algebra R A] [inst_6 : Algebra R B]
(f : A →A[R] B), (ContinuousAlgHom.id R B).comp f = f- Defined in
- Mathlib.Topology.Algebra.Algebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- ContinuousAlgHomstatement and proof · cited by 71
- ContinuousAlgHom.compstatement · cited by 11
- ContinuousAlgHom.idstatement · cited by 11
- ContinuousAlgHom.extproof · cited by 9
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