def cap_succ
import bend-ml-tensor-array@0.1.19.0/main.bend as BendMlTensorArrayimport Base
706def cap_succ(+m: Nat, ih: {snd_nat(cap_pair(m)) == pow2(fst_nat(cap_pair(m))) : Nat} & {True{} == leb(m, snd_nat(cap_pair(m))) : Bool}) -> {snd_nat(cap_pair(1n+m)) == pow2(fst_nat(cap_pair(1n+m))) : Nat} & {True{} == leb(1n+m, snd_nat(cap_pair(1n+m))) : Bool}:
707 match ih:
708 case Tuple{i1, i2}:
709 step_pair_ok(m, cap_pair(m), i1, i2)