Theorems · Theorem · order theory

Finsupp.support_ceilDiv_subset

∀ {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 : CeilDiv α β] {f : ι →₀ β}
  {a : α}, (f ⌈/⌉ a).support ⊆ f.support

Defined in

Mathlib.Algebra.Order.Floor.Div

Cited by

1 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidPartialOrderAddCommMonoidPartialOrderSMulZeroClassCeilDiv