Theorems · Theorem · combinatorics
Set.image_subset_infs_right
∀ {α : Type u_2} [inst : SemilatticeInf α] {s t : Set α} {a : α}, a ∈ s → (fun x => a ⊓ x) '' t ⊆ s ⊼ t- Defined in
- Mathlib.Data.Set.Sups
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeInf
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.imagestatement · cited by 5,609
- SemilatticeInfstatement and proof · cited by 634
- HasInfs.infsstatement · cited by 105
- Set.hasInfsstatement · cited by 43
- Set.image_subset_image2_rightproof · cited by 8
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