Theorems · Theorem · logic and foundations
Cardinal.lift_power_sum
∀ {ι : Type u} (a : Cardinal.{v}) (f : ι → Cardinal.{v}),
Cardinal.lift.{u, v} a ^ Cardinal.sum f = Cardinal.prod fun i => a ^ f i- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.symmproof · cited by 3,681
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkproof · cited by 942
- Cardinal.liftstatement · cited by 583
- Equiv.transproof · cited by 337
- Quotient.outproof · cited by 141
- Equiv.uliftproof · cited by 115
- Cardinal.sumstatement · cited by 58
- Cardinal.mk_congrproof · cited by 55
- Equiv.arrowCongrproof · cited by 20
- Cardinal.inductionOnproof · cited by 19
- Cardinal.prodstatement · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.power_sumproof · cited by 0