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Theorems · Theorem · general topology

continuous_min

∀ {α : Type u} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderClosedTopology α],
  Continuous fun p => min p.1 p.2
Defined in
Mathlib.Topology.Order.OrderClosed
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceLinearOrderOrderClosedTopology
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Around this declaration

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

Filter.Tendsto.min · cited by 5Tendsto.minTopologicalSpace · cited by 24529TopologicalSpaceLinearOrder · cited by 8572LinearOrderContinuous · cited by 2592ContinuousOrderClosedTopology · cited by 445OrderClosedTopologycontinuous_fst · cited by 103continuous_fstcontinuous_snd · cited by 91continuous_sndContinuous.min · cited by 5Continuous.mincontinuous_minCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.