Theorems · Theorem · order theory
iInf_true
∀ {α : Type u_1} [inst : CompleteLattice α] {s : True → α}, iInf s = s trivial- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- iInf_posproof · cited by 31
Cited by3
Results whose statement or proof uses this declaration.
- Set.iInter_trueproof · cited by 17
- Filter.HasBasis.eq_iInfproof · cited by 5
- Filter.blimsup_eq_iInf_biSup_of_natproof · cited by 3