Theorems · Theorem · logic and foundations
FirstOrder.Language.realize_term_substructure
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] {α : Type u_5} {S : L.Substructure M} (v : α → ↥S)
(t : L.Term α), FirstOrder.Language.Term.realize (Subtype.val ∘ v) t = ↑(FirstOrder.Language.Term.realize v t)- Defined in
- Mathlib.ModelTheory.ElementaryMaps
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- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement and proof · cited by 242
- FirstOrder.Language.Termstatement and proof · cited by 166
- FirstOrder.Language.Term.realizestatement · cited by 81
- FirstOrder.Language.Substructure.subtypeproof · cited by 40
- FirstOrder.Language.HomClass.realize_termproof · cited by 5
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