Theorems · Theorem · order theory
Set.notMem_of_mem_sdiff
∀ {α : Type u_1} {s t : Set α} {x : α}, x ∈ s \ t → x ∉ t- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by9
Results whose statement or proof uses this declaration.
- ConvexOn.slope_monoproof · cited by 8
- ZLattice.rankproof · cited by 5
- LinearIndependent.eq_zero_of_smul_mem_spanproof · cited by 3
- affineIndependent_set_iff_linearIndependent_vsubproof · cited by 3
- MeasureTheory.setIntegral_supportproof · cited by 2
- ZFSet.IsOrdinal.subset_iff_eq_or_memproof · cited by 2
- MeasurableSpace.measurableSet_generateFrom_memPartition_iffproof · cited by 1
- Set.notMem_of_mem_diffproof · cited by 0
- MeasureTheory.setIntegral_tsupportproof · cited by 0