leftHomotopyRel — Mathlib

English

For cofibrant X and fibrant Y, LeftHomotopyRel f g is equivalent to RightHomotopyRel f g.

Русский

Для кофибриантного X и фибрантного Y LeftHomotopyRel f g эквивалентно RightHomotopyRel f g.

LaTeX

$$$\text{LeftHomotopyRel} f g \iff \text{RightHomotopyRel} f g$$$

Lean4

theorem leftHomotopyRel (h : RightHomotopyRel f g) : LeftHomotopyRel f g :=
  by
  obtain ⟨P, _⟩ := Cylinder.exists_very_good X
  exact ⟨P, ⟨h.leftHomotopy P⟩⟩

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