bliminf_sup_le_and — Mathlib

English

bliminf_sup_le_and: blimsup u f p ⊔ blimsup u f q ≤ bliminf u f (p ∧ q).

Русский

bliminf_sup_le_and: blimsup u f p ∨ blimsup u f q ≤ bliminf u f (p ∧ q).

LaTeX

$$$ \\operatorname{bliminf\_sup\_le\_and} : \\operatorname{blimsup} u f p \\sqcup \\operatorname{blimsup} u f q \\le \\operatorname{bliminf} u f (p \\land q) $$$

Lean4

theorem bliminf_sup_le_and : bliminf u f p ⊔ bliminf u f q ≤ bliminf u f fun x => p x ∧ q x :=
  blimsup_and_le_inf (α := αᵒᵈ)

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