proj — Mathlib

English

A second form of pi_lift showing equality between quotient lift of pi and pi of quotients.

Русский

Вторая форма лефта pi_lift демонстрирует равенство между поднесением кванто pi и pi от факторной конструкции.

LaTeX

$$$\text{pi_lift} \; (\gamma) : (Path.Homotopic.pi) \, = \, \langle Path.pi \gamma \rangle$$$

Lean4

/-- Abbreviation for projection onto the ith coordinate. -/
abbrev proj (i : ι) (p : Path.Homotopic.Quotient as bs) : Path.Homotopic.Quotient (as i) (bs i) :=
  p.mapFn ⟨_, continuous_apply i⟩

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