Theorems · Theorem · general topology
ContinuousMap.modulus_pos
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoMetricSpace α] [inst_1 : CompactSpace α] [inst_2 : PseudoMetricSpace β]
(f : C(α, β)) {ε : ℝ} {h : 0 < ε}, 0 < f.modulus ε h- Defined in
- Mathlib.Topology.ContinuousMap.Compact
- 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.
- Realstatement and proof · cited by 25,697
- ContinuousMapstatement and proof · cited by 2,491
- PseudoMetricSpacestatement and proof · cited by 1,550
- CompactSpacestatement and proof · cited by 593
- ContinuousMap.uniform_continuityproof · cited by 3
- ContinuousMap.modulusstatement · cited by 2
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