Theorems · Definition · logic and foundations
FirstOrder.Language.Embedding.toEmbedding
{L : FirstOrder.Language} →
{M : Type w} → {N : Type w'} → [inst : L.Structure M] → [inst_1 : L.Structure N] → L.Embedding M N → M ↪ N- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement and proof · cited by 1,084
- Function.Embeddingstatement · cited by 988
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Embeddingstatement and proof · cited by 128
Cited by6
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Embedding.injectiveproof · cited by 6
- FirstOrder.Language.PartialEquiv.le_iffproof · cited by 1
- FirstOrder.Language.Embedding.liftWithConstantsproof · cited by 0
- FirstOrder.Language.Embedding.map_fun'statement · cited by 0
- FirstOrder.Language.Embedding.map_rel'statement · cited by 0
- FirstOrder.Language.empty.nonempty_embedding_iffproof · cited by 0