Theorems · Theorem · logic and foundations
Set.subset_union_of_subset_left
∀ {α : Type u} {s t : Set α}, s ⊆ t → ∀ (u : Set α), s ⊆ t ∪ u- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- LE.le.transproof · cited by 3,151
- Set.subset_union_leftproof · cited by 142
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Field.modelField_of_modelACFproof · cited by 3
- MeasurableSpace.self_subset_generateMeasurableRecproof · cited by 2