Theorems · Theorem · logic and foundations
FirstOrder.Language.Equiv.refl_toEmbedding
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M],
(FirstOrder.Language.Equiv.refl L M).toEmbedding = FirstOrder.Language.Embedding.refl L M- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 2 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.
Cites6
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
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Embeddingstatement · cited by 128
- FirstOrder.Language.Equiv.toEmbeddingstatement · cited by 34
- FirstOrder.Language.Embedding.reflstatement · cited by 10
- FirstOrder.Language.Equiv.reflstatement · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Equiv.symm_comp_self_toEmbeddingproof · cited by 0
- FirstOrder.Language.Equiv.self_comp_symm_toEmbeddingproof · cited by 0