Theorems · Theorem · order theory

Set.image_mulSingle_Ico

∀ {ι : Type u_1} {α : ι → Type u_2} [inst : DecidableEq ι] [inst_1 : (i : ι) → PartialOrder (α i)]
  [inst_2 : (i : ι) → One (α i)] (i : ι) (a b : α i),
  Pi.mulSingle i '' Set.Ico a b = Set.Ico (Pi.mulSingle i a) (Pi.mulSingle i b)

Defined in: Mathlib.Order.Interval.Set.Pi
Cited by: 0 results in Mathlib
Foundations: Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DecidableEq PartialOrder One

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement · cited by 53,352
PartialOrderstatement and proof · cited by 6,410
Set.imagestatement · cited by 5,609
Set.Icostatement · cited by 799
Pi.mulSinglestatement · cited by 111
Set.image_update_Icoproof · cited by 5

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