Theorems · Theorem · order theory
sSupIndep_singleton
∀ {α : Type u_1} [inst : CompleteLattice α] (a : α), sSupIndep {a}- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Disjointproof · cited by 2,201
- CompleteLatticestatement and proof · cited by 1,048
- SupSet.sSupproof · cited by 954
- sSupIndepstatement · cited by 39
- sdiff_selfproof · cited by 38
- sSup_emptyproof · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- Partition.top_defstatement · cited by 1
- Partition.parts_topproof · cited by 0
- Partition.mem_top_iffproof · cited by 0