Nat.ceil

{α : Type u_2} → [inst : Semiring α] → [inst_1 : PartialOrder α] → [FloorSemiring α] → α → ℕ

⌈a⌉₊ is the least natural n such that a ≤ n

Defined in: Mathlib.Algebra.Order.Floor.Defs
Cited by: 141 results in Mathlib
Foundations: Depth 3 from the axioms, rests on 6 definitions · uses no axioms
Assumes: Semiring PartialOrder FloorSemiring

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