Theorems · Theorem · combinatorics
Set.sups_infs_subset_left
∀ {α : Type u_2} [inst : DistribLattice α] (s t u : Set α), s ⊻ t ⊼ u ⊆ (s ⊻ t) ⊼ (s ⊻ u)- Defined in
- Mathlib.Data.Set.Sups
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DistribLattice
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Cites8
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
- DistribLatticestatement and proof · cited by 150
- HasInfs.infsstatement · cited by 105
- HasSups.supsstatement · cited by 103
- Set.hasInfsstatement · cited by 43
- Set.hasSupsstatement · cited by 43
- sup_inf_leftproof · cited by 22
- Set.image2_distrib_subset_leftproof · cited by 5
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