Theorems · Definition · Lie groups
ContinuousMonoidHom.toContinuousMap
{A : Type u_2} →
{B : Type u_3} →
[inst : Monoid A] →
[inst_1 : Monoid B] → [inst_2 : TopologicalSpace A] → [inst_3 : TopologicalSpace B] → (A →ₜ* B) → C(A, B)Reinterpret a ContinuousMonoidHom as a ContinuousMap.
- Cited by
- 9 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
- Monoidstatement and proof · cited by 3,887
- ContinuousMapstatement · cited by 2,491
- MonoidHom.toOneHomproof · cited by 132
- OneHom.toFunproof · cited by 132
- ContinuousMonoidHomstatement and proof · cited by 104
- ContinuousMonoidHom.toMonoidHomproof · cited by 4
- ContinuousMonoidHom.continuous_toFunproof · cited by 2
Cited by10
Results whose statement or proof uses this declaration.
- ContinuousMonoidHom.isInducing_toContinuousMapstatement · cited by 6
- ContinuousMonoidHom.range_toContinuousMapstatement · cited by 1
- ContRepresentation.coind₁Resproof · cited by 1
- ContinuousMonoidHom.toContinuousMap_injectivestatement and proof · cited by 1
- ContinuousMonoidHom.isClosedEmbedding_toContinuousMapstatement and proof · cited by 1
- ContinuousMonoidHom.isEmbedding_toContinuousMapstatement · cited by 1
- ContinuousMonoidHom.continuous_of_continuous_uncurryproof · cited by 0
- ContinuousMonoidHom.coe_toContinuousMapstatement · cited by 0
- ContinuousMonoidHom.continuous_comp_leftproof · cited by 0
- ContinuousMonoidHom.continuous_comp_rightproof · cited by 0