The Bridge From First Principle: A Formal Completed Proof With No Axiom Declared: One Fold, One Registration, One Bit: The Root and the Atom Proved Unconditionally on No Axiom and No Posit; Seat, Heat Floor, Ninth Gate and Primes Unified

The root, to exist is to actuate, is proved in Appendix R unconditionally, at theorem grade, on no axiom and no posit, on its constructed domain and as the law of every root that grounds itself, and by theorem it decides no value alone (root_decides_nothing); the bit the Bridge carri