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Theorems · Theorem · order theory

ceilDiv_zero

∀ {α : Type u_2} {β : Type u_3} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [inst_2 : AddCommMonoid β]
  [inst_3 : PartialOrder β] [inst_4 : SMulZeroClass α β] [inst_5 : CeilDiv α β] (b : β), b ⌈/⌉ 0 = 0
Defined in
Mathlib.Algebra.Order.Floor.Div
Cited by
0 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext
Assumes
AddCommMonoidPartialOrderAddCommMonoidPartialOrderSMulZeroClassCeilDiv
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AddCommMonoid · cited by 12281AddCommMonoidPartialOrder · cited by 6410PartialOrderSMulZeroClass · cited by 213SMulZeroClassCeilDiv.ceilDiv · cited by 25CeilDiv.ceilDivCeilDiv · cited by 20CeilDivceilDiv_of_nonpos · cited by 3ceilDiv_of_nonposceilDiv_zeroCITED BYCITES

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