Theorems · Theorem · logic and foundations
FirstOrder.Language.LEquiv.addEmptyConstants_toLHom
∀ (L : FirstOrder.Language) (α : Type w') [ie : IsEmpty α], (FirstOrder.Language.LEquiv.addEmptyConstants L α).toLHom = L.lhomWithConstants α
- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
- Assumes
- IsEmpty
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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
- IsEmptystatement and proof · cited by 759
- FirstOrder.Language.withConstantsstatement · cited by 108
- FirstOrder.Language.LHomstatement · cited by 66
- FirstOrder.Language.lhomWithConstantsstatement · cited by 39
- FirstOrder.Language.LEquiv.toLHomstatement and proof · cited by 11
- FirstOrder.Language.LEquiv.addEmptyConstantsstatement and proof · cited by 5
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