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Theorems · Theorem · logic and foundations

WType.cardinalMk_eq_sum_lift

∀ {α : Type u} {β : α → Type v},
  Cardinal.mk (WType β) = Cardinal.sum fun a => Cardinal.mk (WType β) ^ Cardinal.lift.{u, v} (Cardinal.mk (β a))
Defined in
Mathlib.Data.W.Cardinal
Cited by
1 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WType.cardinalMk_eq_sum · cited by 0WType.cardinalMk_eq_sumCardinal · cited by 2598CardinalCardinal.mk · cited by 942Cardinal.mkCardinal.lift · cited by 583Cardinal.liftCardinal.sum · cited by 58Cardinal.sumCardinal.lift_umax · cited by 56Cardinal.lift_umaxCardinal.mk_congr · cited by 55Cardinal.mk_congrCardinal.lift_id' · cited by 43Cardinal.lift_id'WType · cited by 34WTypeCardinal.mk_sigma · cited by 20Cardinal.mk_sigmaWType.equivSigma · cited by 3WType.equivSigmaCardinal.mk_arrow · cited by 3Cardinal.mk_arrowWType.cardinalMk_eq_sum_liftCITED BYCITES

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Cited by1

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