Theorems · Definition · functional analysis
ContinuousAlgHom.id
(R : Type u_1) →
[inst : CommSemiring R] →
(A : Type u_2) → [inst_1 : Semiring A] → [inst_2 : TopologicalSpace A] → [inst_3 : Algebra R A] → A →A[R] AThe identity map as a continuous algebra homomorphism.
- Defined in
- Mathlib.Topology.Algebra.Algebra
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AlgHom.idproof · cited by 196
- continuous_idproof · cited by 192
- ContinuousAlgHomstatement · cited by 71
Cited by11
Results whose statement or proof uses this declaration.
- ContinuousAlgHom.coe_idstatement · cited by 1
- ContinuousAlgHom.fst_prod_sndstatement and proof · cited by 0
- ContinuousAlgHom.comp_idstatement · cited by 0
- ContinuousAlgHom.one_defstatement · cited by 0
- ContinuousAlgHom.coe_eq_idstatement and proof · cited by 0
- ContinuousAlgHom.coe_id'statement · cited by 0
- ContinuousAlgEquiv.coe_comp_coe_symmstatement · cited by 0
- ContinuousAlgHom.id_applystatement · cited by 0
- ContinuousAlgHom.id_compstatement · cited by 0
- ContinuousAlgEquiv.coe_reflstatement · cited by 0
- ContinuousAlgEquiv.coe_symm_comp_coestatement · cited by 0