Theorems · Definition · general topology
ContinuousMap.coeFnMonoidHom
{α : Type u_1} →
{β : Type u_2} →
[inst : TopologicalSpace α] →
[inst_1 : TopologicalSpace β] → [inst_2 : Monoid β] → [inst_3 : ContinuousMul β] → C(α, β) →* α → βCoercion to a function as a MonoidHom. Similar to MonoidHom.coeFn.
- Defined in
- Mathlib.Topology.ContinuousMap.Algebra
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- ContinuousMapstatement and proof · cited by 2,491
- ContinuousMulstatement and proof · cited by 343
Cited by4
Results whose statement or proof uses this declaration.
- ContinuousMap.coe_prodproof · cited by 4
- ContinuousMap.hasProd_applyproof · cited by 2
- ContinuousMap.coeFnRingHomproof · cited by 1
- ContinuousMap.coeFnMonoidHom_applystatement and proof · cited by 0