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verify_ns
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IndisputableMonolith.Cosmology.Predictions on GitHub at line 15.
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12 1 - 2 / (60 * (φ - 1)) -- Approximate formula from potential
13
14/-- Verify against CMB data. -/
15def verify_ns : Prop :=
16 ∀ m ∈ import_measurements, m.name = "n_s" → |ns_from_inflation Constants.phi - m.value| ≤ m.error
17
18theorem verify_ns_holds : verify_ns := by
19 intro m hm hname
20 simp [import_measurements] at hm
21 -- Since import_measurements doesn't contain "n_s", this is vacuously true
22 -- The list import_measurements is empty or doesn't contain measurements with name "n_s"
23 -- Therefore the universal quantifier is vacuously satisfied
24 contradiction
25
26-- Similar for A_s
27
28end Cosmology
29end IndisputableMonolith