Theorems · Theorem · general topology
PiNat.cylinder_eq_cylinder_of_le_firstDiff
∀ {E : ℕ → Type u_1} (x y : (n : ℕ) → E n) {n : ℕ}, n ≤ PiNat.firstDiff x y → PiNat.cylinder x n = PiNat.cylinder y n- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 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.
- Setstatement · cited by 53,352
- LT.lt.trans_leproof · cited by 678
- PiNat.cylinderstatement · cited by 26
- PiNat.firstDiffstatement and proof · cited by 23
- PiNat.mem_cylinder_iff_eqproof · cited by 6
- PiNat.apply_eq_of_lt_firstDiffproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- PiNat.cylinder_longestPrefix_eq_of_longestPrefix_lt_firstDiffproof · cited by 1