Mathlib Map

Theorems · Theorem · general topology

ContinuousSup.continuous_sup

∀ {L : Type u_1} {inst : TopologicalSpace L} {inst_1 : Max L} [self : ContinuousSup L], Continuous fun p => p.1 ⊔ p.2

The supremum is continuous

Defined in
Mathlib.Topology.Order.Lattice
Cited by
1 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ContinuousSup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

continuous_sup · cited by 2continuous_supTopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592ContinuousContinuousSup · cited by 70ContinuousSupContinuousSup.continuous_supCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.