Theorems · Theorem · general topology
PiNat.dist_triangle
∀ {E : ℕ → Type u_1} (x y z : (n : ℕ) → E n), dist x z ≤ dist x y + dist y z- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Dist.diststatement · cited by 1,539
- PiNat.diststatement · cited by 12
- max_le_add_of_nonnegproof · cited by 6
- PiNat.dist_triangle_nonarchproof · cited by 1
- PiNat.dist_nonnegproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- PiNat.metricSpaceproof · cited by 3