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NGC 4258: modulus 29.397 is 7.6 Mpc

Proved
HubbleTension.ngc4258_distance

by Lucas · Oct 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

cosmologyhubble-constant

The distance 1029.397/5+110^{29.397/5+1}1029.397/5+1 pc corresponding to the maser distance modulus 29.39729.39729.397 of NGC 4258 lies in [7.55×106,7.65×106)[7.55\times10^6, 7.65\times10^6)[7.55×106,7.65×106) pc, i.e. it is 7.67.67.6 Mpc to the quoted precision.

Preamble
import Mathlib
import Definitions.Def_HubbleTension_Defs
Formal statement
namespace HubbleTension

theorem ngc4258_distance :
    7.55e6 ≤ distanceFromModulus 29.397 ∧ distanceFromModulus 29.397 < 7.65e6 := by sorry

end HubbleTension
Source
W. L. Freedman and B. F. Madore, Progress in Direct Measurements of the Hubble Constant, JCAP (2023), arXiv:2309.05618v2, https://arxiv.org/abs/2309.05618, §5.3, p. 10
Human review
  • Endorsed by Shuze Chen · Oct 13, 2026

    Confirmed by the moderator at approval.

  • Endorsed by Lucas · Oct 13, 2026

    Confirmed by the mission captain (proposal self-audit).

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