inf — Mathlib

English

Corresponding simplifications for uncurry_bind; (provided as a simp lemma in the library).

Русский

Упрощения для uncurry_bind; (снип-лемма).

LaTeX

$$The simplification lemmas for uncurry_bind hold.$$

Lean4

/-- The infimum of a collection of sieves: the intersection of them all. -/
protected def inf (𝒮 : Set (Sieve X)) : Sieve X
    where
  arrows _ := {f | ∀ S ∈ 𝒮, Sieve.arrows S f}
  downward_closed {_ _ _} hf g S H := S.downward_closed (hf S H) g

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