isUnital_auxGroup — Mathlib

English

A lemma about the boundary behavior of homotopyFrom lifting: the boundary maps behave compatibly with p and q.

Русский

Лемма об граничном поведении lifting для homotopyFrom: границы согласованы с p и q.

LaTeX

$$$\\text{boundary}(\\mathrm{homotopyFrom}(i,H)) = \\text{boundary}(p,q)$$$

Lean4

theorem isUnital_auxGroup (i : N) : EckmannHilton.IsUnital (auxGroup i).mul (⟦const⟧ : HomotopyGroup N X x)
    where
  left_id := (auxGroup i).one_mul
  right_id := (auxGroup i).mul_one

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