pathSetoid — Mathlib

English

The setoid on a space X corresponding to the equivalence relation of being joined by a path.

Русский

Множество по эквивиентности на X, соответствующее relation Joined.

LaTeX

$$$pathSetoid : Setoid X\;\text{with } r := Joined\;X$$$

Lean4

/-- The setoid corresponding the equivalence relation of being joined by a continuous path. -/
def pathSetoid : Setoid X where
  r := Joined
  iseqv := Equivalence.mk Joined.refl Joined.symm Joined.trans

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