Theorems · Theorem · logic and foundations
Set.subset_union_of_subset_right
∀ {α : Type u} {s u : Set α}, s ⊆ u → ∀ (t : Set α), s ⊆ t ∪ u- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 3 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_rightproof · cited by 123
Cited by3
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.closedCell_subset_complexproof · cited by 4
- Topology.RelCWComplex.Subcomplex.closedCell_subset_of_memproof · cited by 4
- Matroid.IsCircuit.strong_multi_eliminationproof · cited by 2