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Theorems · Theorem · logic and foundations

FirstOrder.Language.card_functions_sum

∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} (i : ℕ),
  Cardinal.mk ((L.sum L').Functions i) =
    Cardinal.lift.{u', u} (Cardinal.mk (L.Functions i)) + Cardinal.lift.{u, u'} (Cardinal.mk (L'.Functions i))
Defined in
Mathlib.ModelTheory.Basic
Cited by
2 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
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FirstOrder.Language.card_functions_sum_skolem₁ · cited by 1Language.card_functions_s…FirstOrder.Language.card_sum · cited by 1Language.card_sumCardinal · cited by 2598CardinalFirstOrder.Language · cited by 1084FirstOrder.LanguageCardinal.mk · cited by 942Cardinal.mkCardinal.lift · cited by 583Cardinal.liftFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.sum · cited by 31Language.sumCardinal.mk_sum · cited by 19Cardinal.mk_sumLanguage.card_functions_sumCITED BYCITES

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