Theorems · Theorem · logic and foundations
FirstOrder.Language.StrongHomClass.theory_model
∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N] {T : L.Theory}
{F : Type u_4} [inst_2 : EquivLike F M N] [L.StrongHomClass F M N] (g : F) [M ⊨ T], N ⊨ T- Defined in
- Mathlib.ModelTheory.Semantics
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- EquivLikestatement and proof · cited by 165
- FirstOrder.Language.Theorystatement and proof · cited by 154
- FirstOrder.Language.Sentenceproof · cited by 127
- FirstOrder.Language.Theory.Modelstatement and proof · cited by 67
- FirstOrder.Language.StrongHomClassstatement and proof · cited by 16
- FirstOrder.Language.Theory.realize_sentence_of_memproof · cited by 11
- FirstOrder.Language.StrongHomClass.realize_sentenceproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.