Theorems · Theorem · order theory
iInf_nat_gt_zero_eq
∀ {α : Type u_1} [inst : CompleteLattice α] (f : ℕ → α), ⨅ i, ⨅ (_ : i > 0), f i = ⨅ i, f (i + 1)- Defined in
- Mathlib.Order.CompleteLattice.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- iInfstatement and proof · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- iInf_congr_Propproof · cited by 218
- iInf_rangeproof · cited by 27
- Nat.range_succproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CompleteLatticeHom.apply_limsup_iterateproof · cited by 2