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Theorems · Theorem · order theory

Finsupp.floorDiv_def

∀ {ι : Type u_1} {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 : FloorDiv α β] (f : ι →₀ β)
  (a : α), f ⌊/⌋ a = Finsupp.mapRange (fun x => x ⌊/⌋ a) ⋯ f
Defined in
Mathlib.Algebra.Order.Floor.Div
Cited by
0 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidPartialOrderAddCommMonoidPartialOrderSMulZeroClassFloorDiv
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AddCommMonoid · cited by 12281AddCommMonoidPartialOrder · cited by 6410PartialOrderFinsupp · cited by 5255FinsuppSMulZeroClass · cited by 213SMulZeroClassFinsupp.mapRange · cited by 91Finsupp.mapRangeFloorDiv.floorDiv · cited by 24FloorDiv.floorDivFloorDiv · cited by 20FloorDivzero_floorDiv · cited by 4zero_floorDivFinsupp.floorDiv_defCITED BYCITES

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