Theorems · Theorem · logic and foundations
FirstOrder.Language.Term.card_sigma
∀ {L : FirstOrder.Language} {α : Type u'},
Cardinal.mk ((n : ℕ) × L.Term (α ⊕ Fin n)) = max Cardinal.aleph0 (Cardinal.mk (α ⊕ (i : ℕ) × L.Functions i))- Defined in
- Mathlib.ModelTheory.Encoding
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites44
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- Cardinalstatement and proof · cited by 2,598
- iSupproof · cited by 2,415
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- le_rflproof · cited by 1,558
- add_commproof · cited by 1,535
- le_of_ltproof · cited by 1,175
- FirstOrder.Languagestatement and proof · cited by 1,084
- Cardinal.mkstatement and proof · cited by 942
- add_assocproof · cited by 746
- add_le_addproof · cited by 666
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.card_leproof · cited by 1