Theorems · Theorem · order theory
iSup_unique
∀ {α : Type u_1} {ι : Sort u_4} [inst : CompleteLattice α] [inst_1 : Unique ι] (f : ι → α), ⨆ i, f i = f default- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLatticeUnique
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement and proof · cited by 2,415
- CompleteLatticestatement and proof · cited by 1,048
- Uniquestatement and proof · cited by 400
- Unique.eq_defaultproof · cited by 38
- iSup_constproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- CompletelyDistribLattice.MinimalAxioms.toCompleteDistribLatticeproof · cited by 0