Theorems · Definition · general topology
ContinuousMap.coeFnAddMonoidHom
{α : Type u_1} →
{β : Type u_2} →
[inst : TopologicalSpace α] →
[inst_1 : TopologicalSpace β] → [inst_2 : AddMonoid β] → [inst_3 : ContinuousAdd β] → C(α, β) →+ α → βCoercion to a function as an AddMonoidHom. Similar to AddMonoidHom.coeFn.
- Defined in
- Mathlib.Topology.ContinuousMap.Algebra
- Cited by
- 4 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
- AddMonoidHomstatement · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- ContinuousMapstatement and proof · cited by 2,491
- ContinuousAddstatement and proof · cited by 777
Cited by6
Results whose statement or proof uses this declaration.
- ContinuousMap.coe_sumproof · cited by 5
- ContinuousMap.hasSum_applyproof · cited by 3
- ContinuousMap.coeFnLinearMapproof · cited by 2
- ContinuousMap.coeFnRingHomproof · cited by 1
- ContinuousMap.coeFnLinearMap_applystatement · cited by 0
- ContinuousMap.coeFnAddMonoidHom_applystatement and proof · cited by 0