lemma
proved
hbar_pos
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IndisputableMonolith.Constants.Codata on GitHub at line 36.
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Derivations using this theorem
depends on
used by
-
lambda_rec_dimensionless_id_physical -
lambda_rec_pos -
Physical -
G_pos -
hbar_pos -
hbar_positive -
hbar_ne_zero -
ell_P_pos -
lambda_rec_over_ell_P -
lambda_rec_SI_pos -
planck_gate_normalized -
alphaG_pred_closed -
alphaG_pred_eq -
G_div_hbar -
planckConstantCert -
PlanckConstantCert -
casimir_is_attractive -
vacuum_has_energy -
temperature_from_surface_gravity -
G_hbar_gauss_bonnet -
G_over_hbar_phi_tenth -
kappa_eq_eight_div_hbar -
kappa_per_octave_eq_inv_hbar -
octave_duality_witness
formal source
33@[simp] noncomputable def G : ℝ := 6.67430e-11
34
35lemma c_pos : 0 < c := by unfold c; norm_num
36lemma hbar_pos : 0 < hbar := by unfold hbar; norm_num
37lemma G_pos : 0 < G := by unfold G; norm_num
38
39lemma c_ne_zero : c ≠ 0 := ne_of_gt c_pos
40lemma hbar_ne_zero : hbar ≠ 0 := ne_of_gt hbar_pos
41lemma G_ne_zero : G ≠ 0 := ne_of_gt G_pos
42
43end
44
45end Constants
46end IndisputableMonolith