Theorems · Definition · Lie groups
ContinuousAddMonoidHom.toContinuousMap
{A : Type u_7} →
{B : Type u_8} →
[inst : AddMonoid A] →
[inst_1 : AddMonoid B] → [inst_2 : TopologicalSpace A] → [inst_3 : TopologicalSpace B] → (A →ₜ+ B) → C(A, B)Reinterpret a ContinuousAddMonoidHom as a ContinuousMap.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AddMonoidstatement and proof · cited by 2,864
- ContinuousMapstatement · cited by 2,491
- ZeroHom.toFunproof · cited by 101
- ContinuousAddMonoidHomstatement and proof · cited by 77
- AddMonoidHom.toZeroHomproof · cited by 61
- ContinuousAddMonoidHom.toAddMonoidHomproof · cited by 4
- ContinuousAddMonoidHom.continuous_toFunproof · cited by 1
Cited by10
Results whose statement or proof uses this declaration.
- ContinuousAddMonoidHom.isInducing_toContinuousMapstatement · cited by 6
- lp.ext_continuousAddMonoidHomproof · cited by 2
- ContinuousAddMonoidHom.range_toContinuousMapstatement · cited by 1
- ContinuousAddMonoidHom.toContinuousMap_injectivestatement and proof · cited by 1
- ContinuousAddMonoidHom.isClosedEmbedding_toContinuousMapstatement and proof · cited by 1
- ContinuousAddMonoidHom.isEmbedding_toContinuousMapstatement · cited by 1
- ContinuousAddMonoidHom.coe_toContinuousMapstatement · cited by 0
- ContinuousAddMonoidHom.continuous_comp_leftproof · cited by 0
- ContinuousAddMonoidHom.continuous_comp_rightproof · cited by 0
- ContinuousAddMonoidHom.continuous_of_continuous_uncurryproof · cited by 0