Theorems · Theorem · logic and foundations
Cardinal.mk_set
∀ {α : Type u}, Cardinal.mk (Set α) = 2 ^ Cardinal.mk α- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.mk_fintypeproof · cited by 81
- Equiv.ofBijectiveproof · cited by 70
- Cardinal.mk_congrproof · cited by 55
- Cardinal.lift_oneproof · cited by 33
- Cardinal.lift_uzeroproof · cited by 31
- Cardinal.lift_addproof · cited by 18
- Cardinal.prodproof · cited by 16
- Cardinal.mk_piproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.cantorproof · cited by 12
- Cardinal.mk_powersetproof · cited by 4
- Cardinal.mk_set_natproof · cited by 0