Theorems · Theorem · logic and foundations
Cardinal.mk_list_eq_sum_pow
∀ (α : Type u), Cardinal.mk (List α) = Cardinal.sum fun n => Cardinal.mk α ^ n
- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- List.Vectorproof · cited by 270
- Cardinal.sumstatement and proof · cited by 58
- Cardinal.mk_congrproof · cited by 55
- Cardinal.mk_sigmaproof · cited by 20
- Equiv.sigmaFiberEquivproof · cited by 18
- Cardinal.mk_vectorproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Cardinal.mk_list_eq_mkproof · cited by 3
- Cardinal.sum_pow_le_max_aleph0proof · cited by 1
- Cardinal.sum_pow_eq_max_aleph0proof · cited by 0
- Cardinal.sum_zero_powproof · cited by 0
- TensorAlgebra.rank_eqproof · cited by 0