Theorems · Theorem · order theory
sInf_pair
∀ {α : Type u_1} [inst : CompleteLattice α] {a b : α}, sInf {a, b} = a ⊓ b- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- CompleteLattice
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.
- Setstatement · cited by 53,352
- CompleteLatticestatement and proof · cited by 1,048
- InfSet.sInfstatement · cited by 935
- IsGLB.sInf_eqproof · cited by 14
- isGLB_pairproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- iInf_bool_eqproof · cited by 4
- MeasureTheory.Measure.inf_applyproof · cited by 2
- Set.sInter_pairproof · cited by 1
- Sublocale.infClosedproof · cited by 1
- PolynormableSpace.infproof · cited by 0