ord_cof — Mathlib

English

The fundamental sequence ord_cof states that composing with the cofibration yields a fundamental sequence with the composite ord.

Русский

Соотношение ord_cof: композиция фундаментальных последовательностей сохраняет структуру cof.

LaTeX

$$$$\text{If } hf:\IsFundamentalSequence(a,o,f) \text{ then } a.IsFundamentalSequence a.cof.ord (\lambda i hi => f i (hi.trans_le (by rw[hf.cof_eq]))). $$$$

Lean4

theorem ord_cof (hf : IsFundamentalSequence a o f) :
    IsFundamentalSequence a a.cof.ord fun i hi => f i (hi.trans_le (by rw [hf.cof_eq])) :=
  by
  have H := hf.cof_eq
  subst H
  exact hf

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