Theorems · Theorem · general topology
PiNat.firstDiff_def
∀ {E : ℕ → Type u_2} (x y : (n : ℕ) → E n), PiNat.firstDiff x y = if h : x ≠ y then Nat.find ⋯ else 0- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.findstatement and proof · cited by 139
- PiNat.firstDiffstatement · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- PiNat.apply_eq_of_lt_firstDiffproof · cited by 6
- PiNat.firstDiff_commproof · cited by 4
- PiNat.apply_firstDiff_neproof · cited by 4