Theorems · Theorem · order theory
supPrime_iff_supIrred
∀ {α : Type u_2} [inst : DistribLattice α] {a : α}, SupPrime a ↔ SupIrred a- Defined in
- Mathlib.Order.Irreducible
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- DistribLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DistribLatticestatement and proof · cited by 150
- SupIrredstatement · cited by 34
- inf_sup_leftproof · cited by 28
- SupPrimestatement · cited by 19
- SupPrime.supIrredproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SupIrred.supPrimeproof · cited by 0