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Theorems · Theorem · order theory

CeilDiv.zero_ceilDiv

∀ {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} [self : CeilDiv α β] (a : α), 0 ⌈/⌉ a = 0

Do not use this. Use zero_ceilDiv instead.

Defined in
Mathlib.Algebra.Order.Floor.Div
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
CeilDiv
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

zero_ceilDiv · cited by 5zero_ceilDivAddCommMonoid · cited by 12281AddCommMonoidPartialOrder · cited by 6410PartialOrderSMulZeroClass · cited by 213SMulZeroClassCeilDiv.ceilDiv · cited by 25CeilDiv.ceilDivCeilDiv · cited by 20CeilDivCeilDiv.zero_ceilDivCITED BYCITES

Cites5

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Cited by1

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