Theorems · Theorem · logic and foundations
FirstOrder.Language.Term.card_le
∀ {L : FirstOrder.Language} {α : Type u'},
Cardinal.mk (L.Term α) ≤ max Cardinal.aleph0 (Cardinal.mk (α ⊕ (i : ℕ) × L.Functions i))- Defined in
- Mathlib.ModelTheory.Encoding
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- FirstOrder.Languagestatement and proof · cited by 1,084
- Cardinal.mkstatement · cited by 942
- Cardinal.aleph0statement · cited by 521
- FirstOrder.Language.Termstatement · cited by 166
- FirstOrder.Language.Functionsstatement and proof · cited by 153
- transproof · cited by 111
- Cardinal.lift_leproof · cited by 78
- Cardinal.mk_list_le_maxproof · cited by 4
- FirstOrder.Language.Term.encodingproof · cited by 4
- Computability.Encoding.card_le_card_listproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Term.card_sigmaproof · cited by 1
- FirstOrder.Language.Substructure.lift_card_closure_leproof · cited by 1