instLattice — Mathlib

English

The natural numbers form a lattice under the usual order.

Русский

Натуральные числа образуют решётку относительно обычного порядка.

LaTeX

$$$\mathbb{N} \\text{ is a lattice under } \le$ with both inf and sup given by min and max.$$

Lean4

/-- This instance is necessary, otherwise the lattice operations would be derived via
`ConditionallyCompleteLinearOrderBot` and marked as noncomputable. -/
instance : Lattice ℕ :=
  LinearOrder.toLattice

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