Theorems · Theorem · number theory
Behrend.sum_eq
∀ {n d : ℕ}, ∑ i, d * (2 * d + 1) ^ ↑i = ((2 * d + 1) ^ n - 1) / 2- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement · cited by 3,473
- mul_commproof · cited by 2,262
- Finset.rangeproof · cited by 1,341
- Finset.mul_sumproof · cited by 196
- add_tsub_cancel_rightproof · cited by 172
- zero_lt_twoproof · cited by 124
- mul_right_commproof · cited by 108
- Finset.sum_rangeproof · cited by 18
- geom_sum_mul_addproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Behrend.sum_ltproof · cited by 1