disjoint_sUnion_disjointOfDiff — Mathlib

English

The family hC.disjointOfDiffUnion hs hI is pairwise disjoint

Русский

Семейство hC.disjointOfDiffUnion hs hI попарно расходится

LaTeX

$$$$ \\operatorname{PairwiseDisjoint} \\left(hC.disjointOfDiffUnion hs hI : Set(Set\\ α)\\\\right) \\\\ operatorname{id}$$$$

Lean4

theorem disjoint_sUnion_disjointOfDiff (hC : IsSetSemiring C) (hs : s ∈ C) (ht : t ∈ C) :
    Disjoint t (⋃₀ hC.disjointOfDiff hs ht) :=
  by
  rw [hC.sUnion_disjointOfDiff]
  exact disjoint_sdiff_right

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