reflectsLimitsOfShape_of_initial — Mathlib

English

Congruence lemma for isLimitWhiskerEquiv; the simplification lemma yields equality of the two sides.

Русский

Лемма эквивалентностиIsLimitWhiskerEquiv; упрощение даёт равенство обеих сторон.

LaTeX

$$$\\mathrm{congr_simp}(t) : \\mathrm{Eq}(\\mathrm{isLimitWhiskerEquiv}\\ F\\ t,\\ \\mathrm{isLimitWhiskerEquiv}\\ F\\ t).$$$

Lean4

theorem reflectsLimitsOfShape_of_initial {B : Type u₄} [Category.{v₄} B] (H : E ⥤ B) [ReflectsLimitsOfShape C H] :
    ReflectsLimitsOfShape D H where reflectsLimit := reflectsLimit_of_comp F

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