Theorems · Definition · functional analysis
ContinuousAlgHom.toAlgHom
{R : Type u_3} →
[inst : CommSemiring R] →
{A : Type u_4} →
[inst_1 : Semiring A] →
[inst_2 : TopologicalSpace A] →
{B : Type u_5} →
[inst_3 : Semiring B] →
[inst_4 : TopologicalSpace B] → [inst_5 : Algebra R A] → [inst_6 : Algebra R B] → (A →A[R] B) → A →ₐ[R] B- Defined in
- Mathlib.Topology.Algebra.Algebra
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- AlgHomstatement · cited by 3,236
- ContinuousAlgHomstatement and proof · cited by 71
Cited by31
Results whose statement or proof uses this declaration.
- ContinuousAlgHom.compproof · cited by 11
- ContinuousAlgHom.prodproof · cited by 6
- ContinuousAlgHom.toContinuousLinearMapproof · cited by 3
- ContinuousAlgHom.codRestrictproof · cited by 2
- ContinuousAlgHom.coe_injstatement · cited by 2
- ContinuousAlgHom.restrictScalarsproof · cited by 2
- ContinuousAlgHom.copyproof · cited by 2
- ContinuousAlgHom.rangeRestrictstatement and proof · cited by 1
- ContinuousAlgHom.coe_idstatement · cited by 1
- ContinuousAlgHom.toAlgHomMonoidHomproof · cited by 1
- ContinuousAlgHom.contstatement · cited by 1
- ContinuousAlgHom.ext_ringproof · cited by 1