def ud.dz
bend-osdev-u32@0.1.0.0 · PROOF.bend:1816
import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
import Base
1816def ud.dz(+aw: Word(32n), +bw: Word(32n), z: Bool, ez: {U32.is_zero(U32{bw}) == z : Bool}, h: {U32.is_zero(U32{bw}) == False{} : Bool}) -> {Nat.add(Nat.mul(U32.to_nat(U32.div.if(aw, U32{bw}, z)), Word.to_nat(32n, bw)), U32.to_nat(U32.mod.if(aw, U32{bw}, z))) == Word.to_nat(32n, aw) : Nat} & {Nat.is_lt(U32.to_nat(U32.mod.if(aw, U32{bw}, z)), Word.to_nat(32n, bw)) == True{} : Bool}:
1817 match z:
1818 case True{}:
1819 Empty.absurd({Nat.add(Nat.mul(U32.to_nat(U32.div.if(aw, U32{bw}, True{})), Word.to_nat(32n, bw)), U32.to_nat(U32.mod.if(aw, U32{bw}, True{}))) == Word.to_nat(32n, aw) : Nat} & {Nat.is_lt(U32.to_nat(U32.mod.if(aw, U32{bw}, True{})), Word.to_nat(32n, bw)) == True{} : Bool}, un.tf(Equal.trans(Bool, True{}, U32.is_zero(U32{bw}), False{}, Equal.sym(Bool, U32.is_zero(U32{bw}), True{}, ez), h)))
1820 case False{}:
1821 ud.dz2(aw, bw, U32.divmod.go(32n, aw, U32{bw}), ud.go(32n, aw, U32{bw}, ud.hb(bw, h)))