Theorems · Theorem · general topology
PiCountable.edist_le_edist_pi_of_edist_lt
∀ {ι : Type u_2} [inst : Encodable ι] {F : ι → Type u_3} [inst_1 : (i : ι) → EDist (F i)] {x y : (i : ι) → F i} {i : ι},
edist x y < 2⁻¹ ^ Encodable.encode i → edist (x i) (y i) ≤ edist x y- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- EDist.ediststatement and proof · cited by 735
- not_leproof · cited by 328
- Encodablestatement and proof · cited by 140
- Encodable.encodestatement and proof · cited by 118
- EDiststatement and proof · cited by 91
- min_le_iffproof · cited by 15
- PiCountable.ediststatement · cited by 5
- PiCountable.min_edist_le_edist_piproof · cited by 1
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