Theorems · Theorem · order theory
Set.sdiff_singleton_subset_iff
∀ {α : Type u_1} {s t : Set α} {a : α}, s \ {a} ⊆ t ↔ s ⊆ insert a t- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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 by6
Results whose statement or proof uses this declaration.
- Set.wcovBy_insertproof · cited by 4
- Set.subset_insert_sdiff_singletonproof · cited by 3
- Set.mem_Icc_Ico_Ioc_Ioo_of_subset_of_subsetproof · cited by 1
- WCovBy.Ico_subsetproof · cited by 0
- WCovBy.Ioc_subsetproof · cited by 0
- Set.diff_singleton_subset_iffproof · cited by 0