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formal statement (Lean)
146theorem phi_inv_eq : 1/φ = φ - 1 := Inequalities.phi_inv
proof body
Term-mode proof.
147
148/-- 1/φ is positive -/
used by (6)
From the project-wide theorem graph. These declarations reference this one in their body.
-
phi_series_sum
in IndisputableMonolith.Foundation.PhiEmergence
decl_use
-
phi_inv_eq
in IndisputableMonolith.Numerics.Interval.PhiBounds
decl_use
-
phi_inv_gt
in IndisputableMonolith.Numerics.Interval.PhiBounds
decl_use
-
phi_inv_lt
in IndisputableMonolith.Numerics.Interval.PhiBounds
decl_use
-
phi_inv_eq
in IndisputableMonolith.Unification.YangMillsMassGap
decl_use
-
phi_plus_inv
in IndisputableMonolith.Unification.YangMillsMassGap
decl_use
depends on (10)
Lean names referenced from this declaration's body.
-
phi_inv
in IndisputableMonolith.Algebra.PhiRing
decl_use
-
phi_inv
in IndisputableMonolith.Foundation.Inequalities
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
phi_inv
in IndisputableMonolith.Foundation.PhiForcing
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
phi_inv
in IndisputableMonolith.Linguistics.LexiconRatio
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
phi_inv_eq
in IndisputableMonolith.Numerics.Interval.PhiBounds
decl_use
-
phi_inv_eq
in IndisputableMonolith.Unification.YangMillsMassGap
decl_use