setLike — Mathlib

English

The SetLike structure on components is defined, with coercion to sets by supp and injectivity by supp_inj.

Русский

Структура SetLike на компонентах задаётся через supp и supp_inj.

LaTeX

$$$$ \text{Instance }(\mathrm{SetLike}(\mathrm{G.ComponentCompl K) V}) \text{ with } \mathrm{coe}=\mathrm{ComponentCompl.supp}, \mathrm{coe\_injective'}=\mathrm{ComponentCompl.supp\_inj}. $$$$

Lean4

instance setLike : SetLike (G.ComponentCompl K) V
    where
  coe := ComponentCompl.supp
  coe_injective' _ _ := ComponentCompl.supp_inj.mp

Похожие утверждения