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Theorems · Theorem · Lie groups

ContinuousOn.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} {s : Set Y},
  ContinuousOn f s → ContinuousOn g s → ContinuousOn (f +ᵥ g) s
Defined in
Mathlib.Topology.Algebra.MulAction
Cited by
1 results in Mathlib
Foundations
Depth 73 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.

ContinuousOn.fun_vadd · cited by 1ContinuousOn.fun_vaddSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceHVAdd.hVAdd · cited by 1820HVAdd.hVAddContinuousOn · cited by 1411ContinuousOnVAdd · cited by 616VAddContinuousVAdd · cited by 52ContinuousVAddContinuousWithinAt.vadd · cited by 2ContinuousWithinAt.vaddContinuousOn.vaddCITED BYCITES

Cites7

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Cited by1

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