Theorems · Theorem · logic and foundations
Cardinal.mk_vector
∀ (α : Type u) (n : ℕ), Cardinal.mk (List.Vector α n) = Cardinal.mk α ^ n
- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Fintype.card_finproof · cited by 270
- List.Vectorstatement · cited by 270
- Cardinal.mk_fintypeproof · cited by 81
- Cardinal.mk_congrproof · cited by 55
- Cardinal.lift_natCastproof · cited by 39
- Cardinal.lift_uzeroproof · cited by 31
- Cardinal.mk_piproof · cited by 11
- Cardinal.prod_constproof · cited by 8
- Equiv.vectorEquivFinproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.mk_list_eq_sum_powproof · cited by 5