Theorems · Theorem · order theory

ceilDiv_one

∀ {α : Type u_2} {β : Type u_3} [inst : Semiring α] [inst_1 : PartialOrder α] [inst_2 : AddCommMonoid β]
  [inst_3 : PartialOrder β] [inst_4 : MulActionWithZero α β] [inst_5 : CeilDiv α β] [IsOrderedRing α] [Nontrivial α]
  (b : β), b ⌈/⌉ 1 = b

Defined in

Mathlib.Algebra.Order.Floor.Div

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext

Assumes

SemiringPartialOrderAddCommMonoidPartialOrderMulActionWithZeroCeilDivIsOrderedRingNontrivial