Theorems · Theorem · logic and foundations
Cardinal.sum_pow_eq_max_aleph0
∀ {x : Cardinal.{u_1}}, x ≠ 0 → (Cardinal.sum fun n => x ^ n) = max Cardinal.aleph0 x- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Cardinal.aleph0statement and proof · cited by 521
- Quotient.outproof · cited by 141
- Cardinal.sumstatement and proof · cited by 58
- Cardinal.mk_outproof · cited by 14
- Cardinal.mk_list_eq_sum_powproof · cited by 5
- Cardinal.mk_list_eq_maxproof · cited by 2
- Cardinal.nonempty_outproof · cited by 1
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