Theorems · Theorem · order theory
not_infPrime_top
∀ {α : Type u_2} [inst : SemilatticeInf α] [inst_1 : OrderTop α], ¬InfPrime ⊤- Defined in
- Mathlib.Order.Irreducible
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- SemilatticeInfOrderTop
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.
- Top.topstatement · cited by 9,680
- SemilatticeInfstatement and proof · cited by 634
- OrderTopstatement and proof · cited by 493
- InfPrimestatement · cited by 26
- isMax_topproof · cited by 12
- IsMax.not_infPrimeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- InfPrime.ne_topproof · cited by 0