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Theorems · Theorem · general topology

Continuous.sumMap

∀ {X : Type u} {Y : Type v} {W : Type u_1} {Z : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace W] [inst_3 : TopologicalSpace Z] {f : X → Y} {g : Z → W},
  Continuous f → Continuous g → Continuous (Sum.map f g)
Defined in
Mathlib.Topology.Constructions.SumProd
Cited by
1 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpace
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Around this declaration

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IsHomeomorph.sumMap · cited by 0IsHomeomorph.sumMapTopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592Continuouscontinuous_sumMap · cited by 1continuous_sumMapContinuous.sumMapCITED BYCITES

Cites3

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Cited by1

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