Theorems · Theorem · order theory
ciInf_mem
∀ {α : Type u_1} {ι : Sort u_4} [inst : ConditionallyCompleteLinearOrder α] [WellFoundedLT α] [Nonempty ι] (f : ι → α),
iInf f ∈ Set.range f- Cited by
- 5 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.rangestatement · cited by 4,705
- iInfstatement · cited by 1,690
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- WellFoundedLTstatement and proof · cited by 491
- Set.range_nonemptyproof · cited by 84
- csInf_memproof · cited by 19
Cited by5
Results whose statement or proof uses this declaration.
- Cardinal.exists_ord_eqproof · cited by 8
- Dynamics.coverMincard_finite_iffproof · cited by 6
- Order.exists_cof_eqproof · cited by 6
- SimpleGraph.exists_egirth_eq_lengthproof · cited by 2
- ciInf_eq_iffproof · cited by 1