def w64.lo_cat
bend-osdev-algo@0.1.0.0 · PROOF.bend:537
import bend-osdev-algo@0.1.0.0/PROOF.bend as PROOF
import Base
import bend-osdev-word64@0.1.0.0/word64.bend as W
537def w64.lo_cat(m: Nat, +n: Nat, l: Word(m), +h: Word(n)) -> {W.W64.bits.lo(m, n, W.W64.bits.cat(m, n, l, h)) == l : Word(m)}:
538 match m:
539 case 0n:
540 match l:
541 case WNil{}:
542 {==}
543 case 1n+ +p:
544 match l:
545 case WCon{+b, +t}:
546 %w64.lo_cat(p, n, t, h) : {WCon{b, W.W64.bits.lo(p, n, W.W64.bits.cat(p, n, t, h))} == WCon{b, _} : Word(1n+p)}
547 {==}