Theorems · Theorem · order theory
Set.ite_inter_self
∀ {α : Type u_1} (t s s' : Set α), t.ite s s' ∩ t = s ∩ t- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.union_emptyproof · cited by 78
- Set.inter_assocproof · cited by 67
- Set.inter_selfproof · cited by 63
- Set.itestatement · cited by 44
- Set.union_inter_distrib_rightproof · cited by 28
- Set.sdiff_inter_selfproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Set.ite_inter_compl_selfproof · cited by 2
- ite_inter_closure_eq_of_inter_frontier_eqproof · cited by 2
- Set.EqOn.piecewise_ite'proof · cited by 1