Theorems · Theorem · order theory
iInf_split_single
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] (f : β → α) (i₀ : β),
⨅ i, f i = f i₀ ⊓ ⨅ i, ⨅ (_ : i ≠ i₀), f i- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
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.
- iInfstatement and proof · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- iInf_iInf_eq_leftproof · cited by 12
- iInf_splitproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- biInf_le_eq_infproof · cited by 1
- biInf_ge_eq_infproof · cited by 1