Theorems · Theorem · logic and foundations
FirstOrder.Language.directed_distinctConstantsTheory
∀ {L : FirstOrder.Language} {α : Type u'}, Directed (fun x1 x2 => x1 ⊆ x2) L.distinctConstantsTheory- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- FirstOrder.Languagestatement and proof · cited by 1,084
- Directedstatement · cited by 213
- FirstOrder.Language.Theorystatement · cited by 154
- FirstOrder.Language.Sentencestatement · cited by 127
- FirstOrder.Language.withConstantsstatement · cited by 108
- Monotone.directed_leproof · cited by 25
- FirstOrder.Language.distinctConstantsTheorystatement · cited by 9
- FirstOrder.Language.monotone_distinctConstantsTheoryproof · cited by 2
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