Theorems · Theorem · order theory
Set.sdiff_ssubset_left_iff
∀ {α : Type u_1} {s t : Set α}, s \ t ⊂ s ↔ (s ∩ t).Nonempty- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Nonemptystatement and proof · cited by 2,627
- Set.inter_commproof · cited by 291
- Set.not_disjoint_iff_nonempty_interproof · cited by 29
- sdiff_lt_leftproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Matroid.IsCircuit.contract_sdiff_isCircuitproof · cited by 2
- Set.diff_ssubset_left_iffproof · cited by 0