Theorems · Theorem · order theory
InfPrime.infIrred
∀ {α : Type u_2} [inst : SemilatticeInf α] {a : α}, InfPrime a → InfIrred a- Defined in
- Mathlib.Order.Irreducible
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- SemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeInfstatement and proof · cited by 634
- Eq.leproof · cited by 605
- InfIrredstatement · cited by 27
- InfPrimestatement · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- infPrime_iff_infIrredproof · cited by 1