Theorems · Theorem · logic and foundations
FirstOrder.Language.LHom.ofIsEmpty_onFunction
∀ (L : FirstOrder.Language) (L' : FirstOrder.Language) [inst : L.IsAlgebraic] [inst_1 : L.IsRelational] {n : ℕ}
(a : L.Functions n), (FirstOrder.Language.LHom.ofIsEmpty L L').onFunction a = isEmptyElim a- Defined in
- Mathlib.ModelTheory.LanguageMap
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- Foundations
- Depth 18 from the axioms · uses no axioms
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Cites7
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.Functionsstatement and proof · cited by 153
- isEmptyElimstatement · cited by 59
- FirstOrder.Language.LHom.onFunctionstatement and proof · cited by 27
- FirstOrder.Language.IsRelationalstatement and proof · cited by 10
- FirstOrder.Language.IsAlgebraicstatement and proof · cited by 8
- FirstOrder.Language.LHom.ofIsEmptystatement and proof · cited by 6
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