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Theorems · Theorem · general topology

ContinuousMap.inf_apply

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : SemilatticeInf β]
  [inst_3 : ContinuousInf β] (f g : C(α, β)) (a : α), (f ⊓ g) a = f a ⊓ g a
Defined in
Mathlib.Topology.ContinuousMap.Ordered
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Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceSemilatticeInfContinuousInf
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DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceContinuousMap · cited by 2491ContinuousMapSemilatticeInf · cited by 634SemilatticeInfContinuousInf · cited by 50ContinuousInfContinuousMap.inf_applyCITED BYCITES

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