Zulip Chat Archive
Stream: new members
Topic: sum of series
vxctyxeha (May 12 2025 at 16:38):
why cant i rw [tsum_coe_mul_geometric_of_norm_lt_1]
import Mathlib
theorem sum_n_over_2_pow_n' : ∑' n : ℕ, (n / 2^n : ℝ) = 2 := by
have h_norm : ‖(1/2 : ℝ)‖ < 1 := by
rw [Real.norm_eq_abs]
norm_num;rw [abs_of_pos]; norm_num; norm_num
rw [tsum_coe_mul_geometric_of_norm_lt_1]
vxctyxeha (May 12 2025 at 16:39):
Aaron Liu (May 12 2025 at 16:43):
Well it's called tsum_coe_mul_geometric_of_norm_lt_one, not tsum_coe_mul_geometric_of_norm_lt_1
Robin Arnez (May 12 2025 at 16:45):
Here if you wonder: https://github.com/leanprover-community/mathlib4/blob/c05f2327e9fd8d4429dc98cb29f0d01abc73bfa6/Mathlib/Analysis/SpecificLimits/Normed.lean#L500-L502
Robin Arnez (May 12 2025 at 16:46):
Your link was from two years ago
vxctyxeha (May 12 2025 at 16:55):
@Robin Arnez where did you get that?
Robin Arnez (May 12 2025 at 17:12):
go to https://github.com/leanprover-community/mathlib4, then navigate to Mathlib/Analysis/SpecificLimits/Normed.lean
Robin Arnez (May 12 2025 at 17:13):
The c05... portion is just to make this link to the version how it is now even if this file were to change in the future
Kevin Buzzard (May 12 2025 at 17:45):
See also https://mathlib-changelog.org/v4/theorem/tsum_coe_mul_geometric_of_norm_lt_1
Last updated: Dec 20 2025 at 21:32 UTC