instHasLiftingPropertyInl — Mathlib

English

Given a pullback g t and HasLiftingProperty p g, then p with pullback.snd g t has lifting.

Русский

Пусть задан pullback g t и HasLiftingProperty p g; тогда у p с pullback.snd g t есть подъём.

LaTeX

$$$$ HasLiftingProperty\\big(p,\\; \\mathrm{pullback.Snd}(g,t)\\big) $$$$

Lean4

instance [HasPushout s f] {T₁ T₂ : C} (p : T₁ ⟶ T₂) [HasLiftingProperty f p] : HasLiftingProperty (pushout.inl s f) p :=
  (IsPushout.of_hasPushout s f).hasLiftingProperty p

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