instQuasiIsoIntπTruncGEOfIsGE — Mathlib

English

QuasiIso (truncGEMap φ n) iff ∀ i, (i ≥ n) ⇒ QuasiIsoAt φ i. (Maps of truncGE are controlled by GE at each index.)

Русский

QuasiIso(truncGEMap φ n) эквивалентно ∀ i ≥ n, QuasiIsoAt φ i.

LaTeX

$$$ \\text{QuasiIso}(\\mathrm{truncGEMap}\\, \\varphi\\, n) \\Leftrightarrow \\forall i,\\ n \\le i \\Rightarrow \\text{QuasiIsoAt}(\\varphi, i) $$$

Lean4

instance [K.IsGE n] : QuasiIso (K.πTruncGE n) :=
  by
  rw [quasiIso_πTruncGE_iff]
  infer_instance

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