lemma
proved
term proof
deriv_Jlog
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formal statement (Lean)
30lemma deriv_Jlog (t : ℝ) : deriv Jlog t = sinh t := by
proof body
Term-mode proof.
31 exact (hasDerivAt_Jlog_new t).deriv
32
33/-- Second derivative of Jlog is cosh -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
-
deriv2_Jlog
in IndisputableMonolith.Cost.Calibration
decl_use
depends on (13)
Lean names referenced from this declaration's body.
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
-
Jlog
in IndisputableMonolith.Cost
decl_use
-
hasDerivAt_Jlog_new
in IndisputableMonolith.Cost.Calibration
decl_use
-
Jlog
in IndisputableMonolith.Cost.FlogEL
decl_use
-
Jlog
in IndisputableMonolith.Cost.Jlog
decl_use
-
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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-
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
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-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use