Theorems · Theorem · logic and foundations
Set.mem_sdiff_of_mem
∀ {α : Type u} {s t : Set α} {x : α}, x ∈ s → x ∉ t → x ∈ s \ t- Defined in
- Mathlib.Data.Set.Operations
- Cited by
- 5 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 by5
Results whose statement or proof uses this declaration.
- MeromorphicOn.codiscrete_setOfPred_meromorphicOrderAt_eq_zero_or_topproof · cited by 2
- Submonoid.closure_sdiff_eq_closureproof · cited by 2
- AddSubmonoid.closure_sdiff_eq_closureproof · cited by 2
- Subalgebra.spectrum_isBounded_connectedComponentInproof · cited by 1
- Set.mem_diff_of_memproof · cited by 0