supClosure_min — Mathlib

English

supClosure distributes over Cartesian product: supClosure(s × t) = supClosure(s) × supClosure(t).

Русский

supClosure распределяется по декартову произведению: supClosure(s × t) = supClosure(s) × supClosure(t).

LaTeX

$$$\\operatorname{supClosure}(s \\times t) = \\operatorname{supClosure}(s) \\times \\operatorname{supClosure}(t)$$$

Lean4

theorem supClosure_min : s ⊆ t → SupClosed t → supClosure s ⊆ t :=
  supClosure.closure_min

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