Theorems · Definition · order theory

Int.ceil

{α : Type u_2} → [inst : Ring α] → [inst_1 : LinearOrder α] → [FloorRing α] → α → ℤ

Int.ceil a is the smallest integer z such that a ≤ z. It is denoted with ⌈a⌉.

Defined in

Mathlib.Algebra.Order.Floor.Defs

Cited by

138 results in Mathlib

Foundations

Depth 3 from the axioms, rests on 6 definitions · uses no axioms

Assumes

RingLinearOrderFloorRing