Theorems · Theorem · general topology
PiNat.boundedSpace
∀ {E : ℕ → Type u_1} [inst : (n : ℕ) → TopologicalSpace (E n)] [inst_1 : ∀ (n : ℕ), DiscreteTopology (E n)],
BoundedSpace ((n : ℕ) → E n)- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- DiscreteTopologystatement and proof · cited by 373
- BoundedSpacestatement · cited by 26
- PiNat.metricSpacestatement · cited by 3
- PiNat.dist_le_oneproof · cited by 1
- Metric.boundedSpace_iffproof · cited by 1
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