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Theorems · Theorem · general topology

continuous_sup

∀ {L : Type u_1} [inst : TopologicalSpace L] [inst_1 : Max L] [ContinuousSup L], Continuous fun p => p.1 ⊔ p.2
Defined in
Mathlib.Topology.Order.Lattice
Cited by
2 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceMaxContinuousSup
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Filter.Tendsto.sup_nhds' · cited by 3Tendsto.sup_nhds'Continuous.sup · cited by 2Continuous.supTopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592ContinuousContinuousSup · cited by 70ContinuousSupContinuousSup.continuous_sup · cited by 1ContinuousSup.continuous_…continuous_supCITED BYCITES

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Cited by2

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