Theorems · Theorem · general topology
PiCountable.min_edist_le_edist_pi
∀ {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),
min (2⁻¹ ^ Encodable.encode i) (edist (x i) (y i)) ≤ edist x y- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 735
- Encodablestatement and proof · cited by 140
- Encodable.encodestatement · cited by 118
- EDiststatement and proof · cited by 91
- ENNReal.le_tsumproof · cited by 10
- PiCountable.ediststatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- PiCountable.edist_le_edist_pi_of_edist_ltproof · cited by 0