Theorems · Theorem · order theory
Finset.image_infs
∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : DecidableEq α] [inst_1 : DecidableEq β]
[inst_2 : SemilatticeInf α] [inst_3 : SemilatticeInf β] [inst_4 : FunLike F α β] [InfHomClass F α β] (f : F)
(s t : Finset α), Finset.image (⇑f) (s ⊼ t) = Finset.image (⇑f) s ⊼ Finset.image (⇑f) t- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- FunLikestatement and proof · cited by 2,560
- Finset.imagestatement · cited by 910
- SemilatticeInfstatement and proof · cited by 634
- HasInfs.infsstatement · cited by 105
- Finset.hasInfsstatement · cited by 62
- InfHomClass.map_infproof · cited by 20
- InfHomClassstatement and proof · cited by 10
- Finset.image_image₂_distribproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Finset.map_infsproof · cited by 0