theorem proved term proof

`hack_exponent_eq_half`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 129theorem hack_exponent_eq_half : hack_exponent = 1 / 2 := by

proof body

Term-mode proof.

 130  unfold hack_exponent
 131  rw [log_bifurcation_eq_two_log_length]
 132  have hpos : 0 < Real.log horton_length_ratio := log_length_ratio_pos
 133  field_simp
 134

used by (4)

From the project-wide theorem graph. These declarations reference this one in their body.

hack_exponent_in_empirical_band in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation decl_use
hack_exponent_pos in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation decl_use
riverNetworkCert in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation decl_use
river_network_one_statement in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation decl_use

depends on (4)

Lean names referenced from this declaration's body.

hack_exponent in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation decl_use
horton_length_ratio in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation decl_use
log_bifurcation_eq_two_log_length in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation decl_use
log_length_ratio_pos in IndisputableMonolith.Climate.RiverNetworkFromSigmaConservation decl_use