Theorems · Theorem · Lie groups
ContinuousAddMonoidHom.continuous_toFun
∀ {A : Type u_7} {B : Type u_8} [inst : AddMonoid A] [inst_1 : AddMonoid B] [inst_2 : TopologicalSpace A]
[inst_3 : TopologicalSpace B] (self : A →ₜ+ B), Continuous (↑self.toAddMonoidHom).toFunProposition that toFun is continuous
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- TopologicalSpacestatement and proof · cited by 24,529
- AddMonoidstatement and proof · cited by 2,864
- Continuousstatement · cited by 2,592
- ZeroHom.toFunstatement · cited by 101
- ContinuousAddMonoidHomstatement and proof · cited by 77
- AddMonoidHom.toZeroHomstatement · cited by 61
- ContinuousAddMonoidHom.toAddMonoidHomstatement · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousAddMonoidHom.toContinuousMapproof · cited by 10
- ProfiniteAddGrp.ProfiniteCompletion.lift_uniqueproof · cited by 0