def rot_hi.double.get
bend-kit-collections@0.1.4.1 · PROOF.bend:817
import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
import Base
import bend-kit-collections@0.1.4.1/LAWS.bend as Laws
import bend-kit-collections@0.1.4.1/omap.bend as O
817def rot_hi.double.get(
818 ~K: Data, ~V: Data, ~cmp: K -> K -> Cmp, ~refl: Refl(~K, ~cmp), ~eq: Eq(~K, ~cmp),
819 ~flip: Flip(~K, ~cmp), ~trans: Trans(~K, ~cmp),
820 lh: O.OMap<K, V>, +x: K, +k: K, +v: V, +lk: K, +lv: V, +ll: O.OMap<K, V>,
821 +hi: O.OMap<K, V>, +lkk: {cmp(lk, k) == LT{} : Cmp},
822 +l_h: {Laws.bounded(~K, ~V, ~cmp, lh, Some{lk}, Some{k}) == True{} : Bool}
823) -> {g(~K, ~V, ~cmp, O.OMap.rot_hi.double(K, V, k, v, lk, lv, ll, lh, hi), x)
824 == g(~K, ~V, ~cmp, O.OBin{0, k, v, O.OBin{0, lk, lv, ll, lh}, hi}, x) : Maybe<&2, V>}:
825 match lh:
826 case O.OTip{}:
827 rot_hi.single.get(~K, ~V, ~cmp, ~refl, ~eq, ~flip, ~trans, x, k, v, lk, lv, ll,
828 O.OTip{}, hi, lkk)
829 case O.OBin{s, +mk, +mv, +ml, +mh}:
830 rot_hi.double.get2(~K, ~V, ~cmp, ~refl, ~eq, ~flip, ~trans, x, k, v, lk, lv, ll,
831 mk, mv, ml, mh, hi,
832 lt_of(cmp(lk, mk), bn.a(~K, ~V, ~cmp, Some{lk}, Some{k}, mk, mv, ml, mh, l_h)),
833 lt_of(cmp(mk, k), bn.b(~K, ~V, ~cmp, Some{lk}, Some{k}, mk, mv, ml, mh, l_h)))