Theorems · Theorem · order theory
Partition.top_def
∀ {α : Type u_1} {s : α} [inst : CompleteLattice α], ⊤ = Partition.removeBot {s} ⋯ ⋯- Defined in
- Mathlib.Order.Partition.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 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
- Top.topstatement · cited by 9,680
- CompleteLatticestatement and proof · cited by 1,048
- Partitionstatement · cited by 91
- sSup_singletonstatement · cited by 14
- Partition.removeBotstatement · cited by 4
- sSupIndep_singletonstatement · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Partition.mem_top_iffproof · cited by 0