class
definition
GWObservationalFacts
show as:
view math explainer →
open explainer
Read the cached plain-language explainer.
open lean source
IndisputableMonolith.Relativity.GW.PropagationSpeed on GitHub at line 41.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
used by
formal source
38 _ = 0.006 := by norm_num
39 _ < 0.01 := by norm_num
40
41class GWObservationalFacts : Prop where
42 gw170817_bound : |c_T_squared_RS - 1| < 1e-15
43
44theorem GW170817_bound_satisfied [GWObservationalFacts] :
45 |c_T_squared_RS - 1| < 1e-15 :=
46 GWObservationalFacts.gw170817_bound
47
48theorem c_T_squared_derived :
49 c_T_squared 0 0 = 1 ∧
50 (∀ α C_lag, ∃ coeff, c_T_squared α C_lag = 1 + coeff * (α * C_lag)) := by
51 constructor
52 · exact c_T_squared_GR_limit
53 · intro α C_lag
54 refine ⟨0.01, ?_⟩
55 simp [c_T_squared]
56
57end GW
58end Relativity
59end IndisputableMonolith