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 / 2^n : ) = 2 := by
have h_norm : (1/2 : ) < 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):

https://github.com/leanprover-community/mathlib4/blob/8666bd82efec40b8b3a5abca02dc9b24bbdf2652/Mathlib/Analysis/SpecificLimits/Normed.lean#L364-L366

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