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Theorems · Theorem · general topology

Pi.uniformContinuous_proj

∀ {ι : Type u_1} (α : ι → Type u) [U : (i : ι) → UniformSpace (α i)] (i : ι), UniformContinuous fun a => a i
Defined in
Mathlib.Topology.UniformSpace.Pi
Cited by
2 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpace
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Around this declaration

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

Pi.uniformContinuous_precomp' · cited by 2Pi.uniformContinuous_prec…Pi.uniformContinuous_postcomp' · cited by 1Pi.uniformContinuous_post…UniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousuniformContinuous_id · cited by 51uniformContinuous_iduniformContinuous_pi · cited by 12uniformContinuous_piPi.uniformContinuous_projCITED BYCITES

Cites4

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

Cited by2

Results whose statement or proof uses this declaration.