Theorems · Theorem · combinatorics
Set.image_subset_sups_left
∀ {α : Type u_2} [inst : SemilatticeSup α] {s t : Set α} {b : α}, b ∈ t → (fun a => a ⊔ b) '' s ⊆ 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
- SemilatticeSup
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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
- SemilatticeSupstatement and proof · cited by 785
- HasSups.supsstatement · cited by 103
- Set.hasSupsstatement · cited by 43
- Set.image_subset_image2_leftproof · cited by 5
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