Theorems · Theorem · logic and foundations
FirstOrder.Language.Embedding.toHom_comp_injective
∀ {L : FirstOrder.Language} {M : Type w} {N : Type w'} [inst : L.Structure M] [inst_1 : L.Structure N] {P : Type u_1}
[inst_2 : L.Structure P] (h : L.Embedding N P), Function.Injective h.toHom.comp- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- DFunLike.congr_funproof · cited by 288
- FirstOrder.Language.Embeddingstatement and proof · cited by 128
- FirstOrder.Language.Homstatement and proof · cited by 107
- FirstOrder.Language.Embedding.toHomstatement and proof · cited by 40
- FirstOrder.Language.Hom.compstatement and proof · cited by 20
- FirstOrder.Language.Hom.extproof · cited by 6
- FirstOrder.Language.Embedding.injectiveproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Embedding.toHom_comp_injproof · cited by 0