recognition /
Climate /
Climate.RiverNetworkFromSigmaConservation /
explainer
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formal statement (Lean)
90 theorem horton_bifurcation_ratio_gt_one : 1 < horton_bifurcation_ratio := by
proof body
Term-mode proof.
91 unfold horton_bifurcation_ratio
92 have : (1 : ℝ) < phi := one_lt_phi
93 nlinarith [phi_pos, one_lt_phi]
94
95 /-- Two-step identity: `R_b = R_l^2`. The σ-conservation forcing in
96 one statement: bifurcation per order is two length-steps per order. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
riverNetworkCert
in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation
decl_use
depends on (16)
Lean names referenced from this declaration's body.
horton_bifurcation_ratio
in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation
decl_use
step
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
one_lt_phi
in IndisputableMonolith.Constants
decl_use
one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
identity
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
one_lt_phi
in IndisputableMonolith.PhiSupport
decl_use
one_lt_phi
in IndisputableMonolith.PhiSupport.Lemmas
decl_use
one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
two
in IndisputableMonolith.QFT.SpinStatistics
decl_use
one
in IndisputableMonolith.RecogSpec.Core
decl_use
identity
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use