Theorems · Theorem · logic and foundations
FirstOrder.Language.monotone_distinctConstantsTheory
∀ {L : FirstOrder.Language} {α : Type u'}, Monotone L.distinctConstantsTheory- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Monotonestatement · cited by 1,397
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Theorystatement · cited by 154
- FirstOrder.Language.Sentencestatement · cited by 127
- FirstOrder.Language.withConstantsstatement · cited by 108
- FirstOrder.Language.distinctConstantsTheorystatement · cited by 9
- FirstOrder.Language.distinctConstantsTheory_monoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.directed_distinctConstantsTheoryproof · cited by 0