Plain English statement
The theorem match_boson_H states that the rung constructor assigns rung value 1 to the Higgs boson.
Relevance to Recognition Science
RS derives particle masses from a discrete rung ladder scaled by powers of phi. This theorem confirms that H (along with W and Z) sits at rung 1, the base of the boson sector, which is required for the subsequent mass formula yardstick * phi^(rung - 8 + gap(Z)) to place the electroweak bosons at the observed scale.
Reading the formal statement
theorem match_boson_H : compute_rung .H = 1 := by rfl
compute_rung is applied to the constructor .H; the equation asserts equality to the literal 1. The proof by rfl means the equality holds definitionally (no computation or external lemmas required).
Visible dependencies and certificates
The declaration sits in the same module as the sibling boson theorems match_boson_W and match_boson_Z, the SDGT counterparts sdgt_boson_H, sdgt_boson_W and sdgt_boson_Z, and the fermion matching theorems such as match_lepton_e. The module imports IndisputableMonolith.Masses.RungConstructor.Motif (source of compute_rung) and IndisputableMonolith.RSBridge.Anchor (legacy rung values). No sorry appears in any of these matching theorems.
What this declaration does not prove
It only certifies the integer rung assignment for H. It does not contain the definition of compute_rung, the phi-power mass scaling formula, the gap(Z) correction, or any comparison to experimental PDG masses. Those steps reside in other modules (Anchor, ConstantDerivations) outside the supplied slice.