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Theorems · Theorem · Lie groups

ContinuousAt.fun_add

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Add M] [ContinuousAdd M] {X : Type u_2}
  [inst_3 : TopologicalSpace X] {f g : X → M} {x : X},
  ContinuousAt f x → ContinuousAt g x → ContinuousAt (fun i => f i + g i) x
Defined in
Mathlib.Topology.Algebra.Monoid.Defs
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceAddContinuousAddTopologicalSpace
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Around this declaration

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LSeries_tendsto_sub_mul_nhds_one_of_tendsto_sum_div · cited by 1LSeries_tendsto_sub_mul_n…ContinuousAt.continuousLinearMapCoprod · cited by 0ContinuousAt.continuousLi…TopologicalSpace · cited by 24529TopologicalSpaceContinuousAdd · cited by 777ContinuousAddContinuousAt · cited by 697ContinuousAtContinuousAt.add · cited by 10ContinuousAt.addContinuousAt.fun_addCITED BYCITES

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Cited by2

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