def opow

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/fix64.bend:258

import Base
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-math@1.0.0.0/spec/math/generic.bend as SG
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as WU
import bend-collections-laws-math@1.0.0.0/src/math/fixed.bend as F
import bend-collections-laws-math@1.0.0.0/src/math/num.bend as NM
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/u64int.bend as UI

258def opow(+a: WU.U64, +e: U32, +ok: Bool, +hok: {C.fits(64n, pw(a, e)) == ok : Bool}) -> {F.res_bad(WU.U64, gpow(a, e)) == Bool.not(ok) : Bool}:
259  match ok:
260    case True{}:
261      %Equal.sym(Result<&2, &2, NM.NumError, WU.U64>, gpow(a, e), SG.checked(~WU.U64, ~SG.u64_of, 64n, pw(a, e)), UI.pow_checked(a, vs(e))) : {F.res_bad(WU.U64, _) == False{} : Bool}
262      %Equal.sym(Bool, C.fits(64n, pw(a, e)), True{}, hok) : {F.res_bad(WU.U64, SG.checked_pick(~WU.U64, ~SG.u64_of, pw(a, e), _)) == False{} : Bool}
263      {==}
264    case False{}:
265      %Equal.sym(Result<&2, &2, NM.NumError, WU.U64>, gpow(a, e), SG.checked(~WU.U64, ~SG.u64_of, 64n, pw(a, e)), UI.pow_checked(a, vs(e))) : {F.res_bad(WU.U64, _) == True{} : Bool}
266      %Equal.sym(Bool, C.fits(64n, pw(a, e)), False{}, hok) : {F.res_bad(WU.U64, SG.checked_pick(~WU.U64, ~SG.u64_of, pw(a, e), _)) == True{} : Bool}
267      {==}