Theorems · Theorem · order theory
Finset.exists_inf_eq_iInf
∀ {α : Type u_2} {β : Type u_3} [inst : CompleteLattice β] [WellFoundedLT β] (f : α → β), ∃ t, t.inf f = ⨅ a, f a- Defined in
- Mathlib.Data.Finset.Lattice.Fold
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLatticeWellFoundedLT
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- iInfstatement and proof · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- WellFoundedLTstatement and proof · cited by 491
- Finset.infstatement and proof · cited by 219
- iInf_leproof · cited by 104
- LE.le.antisymm'proof · cited by 104
- le_iInfproof · cited by 102
- Finset.le_infproof · cited by 10
- Finset.exists_inf_leproof · cited by 3
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