Theorems · Definition · logic and foundations
Set.embeddingOfSubset
{α : Type u_1} → (s t : Set α) → s ⊆ t → ↑s ↪ ↑tThe injection map is an embedding between subsets.
- Defined in
- Mathlib.Logic.Embedding.Set
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
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
- Set.Elemstatement and proof · cited by 7,166
- Function.Embeddingstatement · cited by 988
Cited by10
Results whose statement or proof uses this declaration.
- Cardinal.mk_le_mk_of_subsetproof · cited by 37
- Cardinal.mul_eq_selfproof · cited by 13
- SimpleGraph.induceHomOfLEproof · cited by 5
- Module.Basis.le_spanproof · cited by 1
- Cardinal.mk_subtype_monoproof · cited by 1
- AffineIndependent.monoproof · cited by 1
- Set.embeddingOfSubset.congr_simpstatement and proof · cited by 0
- Set.embeddingOfSubset_apply_coestatement and proof · cited by 0
- ConvexIndependent.monoproof · cited by 0
- Ordinal.type_monoproof · cited by 0