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formal statement (Lean)
95structure WeakCouplingCert where
96 alpha_from_cube : alphaInv = alpha_seed * Real.exp (-(f_gap / alpha_seed))
97 sin2_from_phi : sin2_theta_W_rs = (3 - Constants.phi) / 6
98 alpha_W_def : alpha_W = alpha / sin2_theta_W_rs
99 alpha_W_positive : 0 < alpha_W
100 alpha_W_exceeds_alpha : alpha < alpha_W
101
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (12)
Lean names referenced from this declaration's body.
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alpha
in IndisputableMonolith.Constants.Alpha
decl_use
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alphaInv
in IndisputableMonolith.Constants.Alpha
decl_use
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alpha_seed
in IndisputableMonolith.Constants.Alpha
decl_use
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alpha_seed
in IndisputableMonolith.Constants.AlphaHigherOrder
decl_use
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f_gap
in IndisputableMonolith.Constants.AlphaHigherOrder
decl_use
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alpha_seed
in IndisputableMonolith.Constants.AlphaPrecision
decl_use
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f_gap
in IndisputableMonolith.Constants.GapWeight
decl_use
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Constants
in IndisputableMonolith.CPM.LawOfExistence
decl_use
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sin2_theta_W_rs
in IndisputableMonolith.Masses.ElectroweakMasses
decl_use
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f_gap
in IndisputableMonolith.Pipelines
decl_use
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alpha_W
in IndisputableMonolith.QFT.RunningCouplings
decl_use
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alpha_W
in IndisputableMonolith.StandardModel.WeakCoupling
decl_use