The declaration schumannRS_strictMono appears in module IndisputableMonolith.Physics.EarthBrainResonance.
(1) In plain English it asserts that the RS-predicted Schumann harmonic frequencies form a strictly increasing sequence: whenever the harmonic index m is smaller than n, the predicted frequency for m is smaller than the predicted frequency for n.
(2) In Recognition Science this matters because the underlying formula schumannRS n = (4n-1)·phi + 3 is built only from the RS-forced constants D=3 (T8) and phi (T6). Strict monotonicity is the minimal structural property needed for the sequence to be capable of matching the observed increasing Schumann resonances; it is invoked directly inside the master certificate earthBrainResonance_forced.
(3) The formal statement reads: ∀ (m n : ℕ), m < n → schumannRS m < schumannRS n. The proof first rewrites the difference schumannRS n - schumannRS m as 4·phi·(n-m) using the definition of schumannRS and the ring tactic, then shows the difference is positive by multiplying the already-proved spacing_pos by the positive quantity (n-m), and finally concludes the inequality by linarith.
(4) Visible dependencies inside the supplied source are the definition of schumannRS, the theorem spacing_pos (0 < 4·phi), the positivity of phi, and the tactics ring, mul_pos, sub_pos, Nat.cast_lt and linarith. The theorem is packaged into the strictly_increasing field of earthBrainResonance_forced.
(5) The declaration proves only the ordering property of the mathematical function schumannRS. It does not prove numerical agreement with measured Schumann values (those appear in harmonic1_matches through harmonic5_matches), EEG band membership, or any physical claim that the formula describes actual Earth-cavity resonances.