Theorems · Theorem · logic and foundations
Set.inter_eq_self_of_subset_left
∀ {α : Type u} {s t : Set α}, s ⊆ t → s ∩ t = s- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 52 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.inter_eq_leftproof · cited by 44
Cited by52
Results whose statement or proof uses this declaration.
- MeasurableEmbedding.comap_applyproof · cited by 20
- Matroid.isBasis'_iff_isBasisproof · cited by 9
- Submodule.fg_of_fg_map_injectiveproof · cited by 5
- Matroid.isBasis_restrict_iff'proof · cited by 4
- WithTop.image_coe_Iicproof · cited by 4
- WithTop.image_coe_Iioproof · cited by 4
- PartialEquiv.restr_eq_of_source_subsetproof · cited by 3
- WithTop.image_coe_Iccproof · cited by 3
- WithTop.image_coe_Icoproof · cited by 3
- WithTop.image_coe_Iocproof · cited by 3
- WithTop.image_coe_Iooproof · cited by 3
- WithBot.image_coe_Icoproof · cited by 3