Theorems · Theorem · order theory
Finset.coe_infs
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : SemilatticeInf α] (s t : Finset α), ↑(s ⊼ t) = ↑s ⊼ ↑t- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqSemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement · cited by 8,199
- SemilatticeInfstatement and proof · cited by 634
- HasInfs.infsstatement · cited by 105
- Finset.hasInfsstatement · cited by 62
- Finset.coe_image₂proof · cited by 55
- Set.hasInfsstatement · cited by 43
Cited by3
Results whose statement or proof uses this declaration.
- Finset.truncatedSup_infs_of_notMemproof · cited by 1
- Finset.filter_infs_leproof · cited by 1
- Finset.infs_selfproof · cited by 0