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Theorems · Theorem · logic and foundations

FirstOrder.Language.Term.realize_constants

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'} {c : L.Constants} {v : α → M},
  FirstOrder.Language.Term.realize v c.term = ↑c
Defined in
Mathlib.ModelTheory.Semantics
Cited by
6 results in Mathlib
Foundations
Depth 12 from the axioms · uses Quot.sound
Assumes
FirstOrder.Language.Structure
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FirstOrder.Ring.realize_zero · cited by 5Ring.realize_zeroFirstOrder.Language.Term.realize_varsToConstants · cited by 3Term.realize_varsToConsta…FirstOrder.Language.model_distinctConstantsTheory · cited by 2Language.model_distinctCo…Set.TermDefinable.const · cited by 1TermDefinable.constFirstOrder.Ring.realize_one · cited by 1Ring.realize_oneFirstOrder.Language.MeetsDefinable.isElementary_closure · cited by 0MeetsDefinable.isElementa…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Term.realize · cited by 81Term.realizeFirstOrder.Language.constantMap · cited by 28Language.constantMapFirstOrder.Language.Constants · cited by 14Language.ConstantsFirstOrder.Language.Constants.term · cited by 11Constants.termFirstOrder.Language.funMap_eq_coe_constants · cited by 2Language.funMap_eq_coe_co…Term.realize_constantsCITED BYCITES

Cites7

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Cited by6

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