Theorems · Theorem · order theory
iInf_pair
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] {f : β → α} {a b : β}, ⨅ x ∈ {a, b}, f x = f a ⊓ f b- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- 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
- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- iInf_insertproof · cited by 5
- iInf_singletonproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.inf_applyproof · cited by 2
- Submodule.annihilator_supproof · cited by 0