Theorems · Theorem · order theory
not_supIrred_bot
∀ {α : Type u_2} [inst : SemilatticeSup α] [inst_1 : OrderBot α], ¬SupIrred ⊥- Defined in
- Mathlib.Order.Irreducible
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- SemilatticeSupOrderBot
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- OrderBotstatement and proof · cited by 1,055
- SemilatticeSupstatement and proof · cited by 785
- SupIrredstatement · cited by 34
- isMin_botproof · cited by 15
- IsMin.not_supIrredproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SupIrred.ne_botproof · cited by 2