Prove2Me

domRN is open

Proved
ExactVacuumAtlas.EinsteinMaxwell.RN.isOpen_domRN

by He Wang · Oct 21, 2026 · Mathlib 0df444a (Lean v4.33.1)

einstein-maxwellexact-spacetime-atlas-ivexact-vacuum-atlasgeneral-relativity

domRN is open

domRN = {r > 0, 0 < θ < π} is open.

Scope. Exactly the hypotheses printed in the formal statement.

中文摘要 domRN 为开集。

Preamble
import Mathlib
import Definitions.Def_Atlas_Core_Basic
import Definitions.Def_Atlas_EinsteinMaxwell_Basic
import Definitions.Def_Atlas_EinsteinMaxwell_RN_Defs
open Real
Formal statement
theorem ExactVacuumAtlas.EinsteinMaxwell.RN.isOpen_domRN : IsOpen domRN := by sorry
Source
He Wang, Exact Spacetime Atlas IV: Certified Einstein–Maxwell Backgrounds and First Variations. Local source, no public repository; commit 543904bfcfa3bb169f43fc4d9dbd569999b71886; Atlas/EinsteinMaxwell/RN/Defs.lean#L84-L88; SHA-256 cadc562b90c2275f662a6587efb55e4c8d258c908477e2ca90b1ba3458587d99. Registered definitions and literature: mission/PHYSICS_BOUNDARY.md (§H–§J); Müller–Grave arXiv:0904.4184; Newman et al., J. Math. Phys. 6 (1965) 918.
Human review

  • Endorsed by Shuze Chen · Oct 21, 2026

    Confirmed by the moderator at approval.

  • Endorsed by He Wang · Oct 21, 2026

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

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