theorem
proved
lifetime_pos
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IndisputableMonolith.Physics.DecaySpectrumFromPhiLadder on GitHub at line 36.
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33 rw [div_eq_iff hpos.ne', pow_succ]
34 ring
35
36theorem lifetime_pos (k : ℕ) : 0 < lifetime k := pow_pos phi_pos k
37
38structure DecaySpectrumCert where
39 five_channels : Fintype.card DecayChannel = 5
40 phi_ratio : ∀ k, lifetime (k + 1) / lifetime k = phi
41 lifetime_always_pos : ∀ k, 0 < lifetime k
42
43noncomputable def decaySpectrumCert : DecaySpectrumCert where
44 five_channels := decayChannel_count
45 phi_ratio := lifetime_ratio
46 lifetime_always_pos := lifetime_pos
47
48end IndisputableMonolith.Physics.DecaySpectrumFromPhiLadder