Theorems · Theorem · order theory
iInf_sigma
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] {p : β → Type u_8} {f : Sigma p → α},
⨅ x, f x = ⨅ i, ⨅ j, f ⟨i, j⟩- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 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.
- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- eq_of_forall_le_iffproof · cited by 65
- le_iInf_iffproof · cited by 30
- Sigma.forallproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- withSeminorms_iInfproof · cited by 3
- iInf_sigma'proof · cited by 2
- Set.iInter_sigmaproof · cited by 1