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Theorems · Theorem · general topology

PiNat.min_firstDiff_le

∀ {E : ℕ → Type u_1} (x y z : (n : ℕ) → E n),
  x ≠ z → min (PiNat.firstDiff x y) (PiNat.firstDiff y z) ≤ PiNat.firstDiff x z
Defined in
Mathlib.Topology.MetricSpace.PiNat
Cited by
1 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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PiNat.dist_triangle_nonarch · cited by 1PiNat.dist_triangle_nonar…PiNat.firstDiff · cited by 23PiNat.firstDifflt_min_iff · cited by 14lt_min_iffPiNat.apply_eq_of_lt_firstDiff · cited by 6PiNat.apply_eq_of_lt_firs…PiNat.apply_firstDiff_ne · cited by 4PiNat.apply_firstDiff_nePiNat.min_firstDiff_leCITED BYCITES

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Cited by1

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