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Theorems · Theorem · Lie groups

ContinuousAt.vadd

∀ {M : Type u_1} {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace M] [inst_1 : TopologicalSpace X]
  [inst_2 : TopologicalSpace Y] [inst_3 : VAdd M X] [ContinuousVAdd M X] {f : Y → M} {g : Y → X} {b : Y},
  ContinuousAt f b → ContinuousAt g b → ContinuousAt (f +ᵥ g) b
Defined in
Mathlib.Topology.Algebra.MulAction
Cited by
1 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceTopologicalSpaceVAddContinuousVAdd
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ContinuousAt.fun_vadd · cited by 0ContinuousAt.fun_vaddTopologicalSpace · cited by 24529TopologicalSpaceHVAdd.hVAdd · cited by 1820HVAdd.hVAddContinuousAt · cited by 697ContinuousAtVAdd · cited by 616VAddContinuousVAdd · cited by 52ContinuousVAddFilter.Tendsto.vadd · cited by 6Tendsto.vaddContinuousAt.vaddCITED BYCITES

Cites6

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Cited by1

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