Theorems · Theorem · order theory
Finset.powerset_inter
∀ {α : Type u_2} [inst : DecidableEq α] (s t : Finset α), (s ∩ t).powerset = s.powerset ⊼ t.powerset- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.extproof · cited by 565
- HasInfs.infsstatement · cited by 105
- Finset.powersetstatement · cited by 93
- Finset.hasInfsstatement · cited by 62
- Finset.inter_subset_leftproof · cited by 23
- Finset.inter_eq_rightproof · cited by 11
- Finset.inter_subset_interproof · cited by 4
- Finset.inter_inter_distrib_rightproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.