Theorems · Theorem · Lie groups
ContinuousAt.sub
∀ {G : Type u_1} {X : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace G] [inst_2 : Sub G]
[ContinuousSub G] {f g : X → G} {x : X}, ContinuousAt f x → ContinuousAt g x → ContinuousAt (f - g) x- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- ContinuousAtstatement and proof · cited by 697
- Filter.Tendsto.subproof · cited by 68
- ContinuousSubstatement and proof · cited by 48
Cited by9
Results whose statement or proof uses this declaration.
- ContinuousAt.fun_subproof · cited by 19
- IsBoundedBilinearMap.continuousproof · cited by 11
- HasMFDerivAt.subproof · cited by 2
- PeriodPair.not_continuousAt_weierstrassPproof · cited by 1
- eventually_norm_sub_ltproof · cited by 1
- HasFPowerSeriesAt.eventually_hasSum_of_compproof · cited by 1
- continuousAt_toIcoModproof · cited by 1
- continuousAt_toIocModproof · cited by 1
- eventually_nnnorm_sub_ltproof · cited by 1