Theorems · Theorem · logic and foundations
Cardinal.lift_power
∀ (a b : Cardinal.{u}), Cardinal.lift.{v, u} (a ^ b) = Cardinal.lift.{v, u} a ^ Cardinal.lift.{v, u} b- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.liftstatement · cited by 583
- Equiv.transproof · cited by 337
- Equiv.uliftproof · cited by 115
- Cardinal.mk_congrproof · cited by 55
- Equiv.arrowCongrproof · cited by 20
- Cardinal.inductionOn₂proof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- Cardinal.lift_two_powerproof · cited by 2
- lift_cardinalMk_eq_lift_cardinalMk_field_pow_lift_rankproof · cited by 2
- MeasurableSpace.cardinal_generateMeasurableRec_leproof · cited by 1
- ZFSet.card_powersetproof · cited by 1
- Cardinal.IsStrongLimit.univproof · cited by 1
- Cardinal.lift_preBethproof · cited by 1
- Cardinal.prod_eq_two_powerproof · cited by 0