Theorems · Theorem · general topology
ContinuousMap.coeFnAddMonoidHom_apply
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : AddMonoid β]
[inst_3 : ContinuousAdd β] (f : C(α, β)) (a : α), ContinuousMap.coeFnAddMonoidHom f a = f a- Defined in
- Mathlib.Topology.ContinuousMap.Algebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement and proof · 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
- ContinuousMap.coeFnAddMonoidHomstatement and proof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.