Explain the Lean theorem `match_boson_H` in module `IndisputableMonolith.Masses.RungConstructor.Proofs`. Write for an educated reader who knows science and programming but may not know Lean. Cover: (1) what the declaration says in plain English, (2) why it matters in Recognition Science, (3) how to read the formal statement, (4) visible dependencies or certificates in the supplied source, and (5) what this declaration does not prove. Cite only declarations present in the supplied Recognition source.

The declaration match_boson_H is a Lean theorem in the supplied module.

(1) In plain English it asserts that the rung constructor function assigns the Higgs boson the integer rung value 1.

(2) In Recognition Science the rung value controls the phi-power scaling of particle masses; placing the Higgs at rung 1 reproduces the legacy boson table and keeps bosons at the base of the ladder (distinct from the fermion and quark rungs proved in the same module).

(3) The formal statement reads theorem match_boson_H : compute_rung .H = 1 := by rfl. It declares a named theorem whose proposition is the equality compute_rung applied to the Higgs constructor equals the literal 1; the proof by rfl means the equality holds definitionally (no further computation required).

(4) Visible dependencies in the supplied source include the sibling declarations match_boson_W, match_boson_Z, sdgt_boson_H, sdgt_boson_W and sdgt_boson_Z. The module imports IndisputableMonolith.Masses.RungConstructor.Motif (supplying compute_rung) and IndisputableMonolith.RSBridge.Anchor; the theorem is grouped with the master matching result match_rsbridge_rung that covers all legacy mappings.

(5) The declaration does not prove the numerical mass of the Higgs (that step requires the yardstick and phi-exponent formula), does not derive the rung from the forcing chain, and does not address the SDGT differences that appear only for quarks.