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Theorems · Theorem · general topology

IsClosedMap.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},
  IsClosedMap f → IsClosedMap g → IsClosedMap (Sum.map f g)
Defined in
Mathlib.Topology.Constructions.SumProd
Cited by
0 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpace
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TopologicalSpace · cited by 24529TopologicalSpaceIsClosedMap · cited by 138IsClosedMapIsClosedMap.comp · cited by 6IsClosedMap.compisClosedMap_sum · cited by 1isClosedMap_sumisClosedMap_inl · cited by 1isClosedMap_inlisClosedMap_inr · cited by 1isClosedMap_inrIsClosedMap.sumMapCITED BYCITES

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