recognition /
Constants /
Constants.SolidAngleExclusivity /
explainer
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formal statement (Lean)
119 theorem solidAngle_is_sphere_area : solidAngle = unitSphereSurface 3 := by
proof body
Term-mode proof.
120 unfold solidAngle
121 rw [unitSphereSurface_D3]
122
123 /-! ## Part 4: Why No Other Factor Works -/
124
125 /-- 2π is the circumference of a circle (D=2), not the surface of a sphere (D=3). -/
depends on (12)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
solidAngle
in IndisputableMonolith.Constants.SolidAngleExclusivity
decl_use
unitSphereSurface
in IndisputableMonolith.Constants.SolidAngleExclusivity
decl_use
unitSphereSurface_D3
in IndisputableMonolith.Constants.SolidAngleExclusivity
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use