Theorems · Theorem · logic and foundations
Set.union_eq_self_of_subset_right
∀ {α : Type u} {s t : Set α}, t ⊆ s → s ∪ t = s- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- Set.union_eq_leftproof · cited by 6
Cited by25
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_sdiffproof · cited by 20
- Unitization.quasispectrum_eq_spectrum_inr'proof · cited by 12
- Matroid.Indep.contract_indep_iffproof · cited by 9
- Set.Ioo_union_rightproof · cited by 5
- Matroid.IsBasis'.contract_indep_iffproof · cited by 4
- MeasureTheory.measureReal_sdiffproof · cited by 4
- Set.Ioo_union_leftproof · cited by 4
- Set.Ico_union_rightproof · cited by 3
- Matroid.IsBasis'.contract_isBasis'_sdiff_sdiff_of_subsetproof · cited by 3
- Set.Ioc_union_leftproof · cited by 3
- Matroid.closure_sdiff_eq_selfproof · cited by 3
- Matroid.IsCircuit.strong_multi_eliminationproof · cited by 2