Theorems · Definition · general topology
ContinuousMap.coeFnRingHom
{α : Type u_1} →
{β : Type u_2} →
[inst : TopologicalSpace α] →
[inst_1 : TopologicalSpace β] → [inst_2 : Semiring β] → [inst_3 : IsTopologicalSemiring β] → C(α, β) →+* α → βCoercion to a function as a RingHom.
- Defined in
- Mathlib.Topology.ContinuousMap.Algebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- RingHomstatement · cited by 10,189
- MonoidHomproof · cited by 3,629
- AddMonoidHomproof · cited by 3,230
- ContinuousMapstatement and proof · cited by 2,491
- IsTopologicalSemiringstatement and proof · cited by 442
- ContinuousMap.coeFnAddMonoidHomproof · cited by 4
- ContinuousMap.coeFnMonoidHomproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousMap.coeFnAlgHomproof · cited by 1
- ContinuousMap.coeFnRingHom_applystatement and proof · cited by 0