def clamp_done

bend-collections-laws-math@1.0.0.0 · proofs/math/natural/misc.bend:78

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend as N
import bend-collections-laws-math@1.0.0.0/src/math/natural.bend as M

78def clamp_done(+x: Nat, +lo: Nat, +hi: Nat, +h: {Nat.is_le(lo, hi) == True{} : Bool}) -> {M.clamp(x, lo, hi) == Done{Nat.min(Nat.max(x, lo), hi)} : Result<&2, &2, M.MathError, Nat>}:
79  %Equal.sym(Bool, Nat.is_lt(hi, lo), False{}, N.le_not_lt(hi, lo, h)) : {M.clamp_ok(x, lo, hi, _) == Done{Nat.min(Nat.max(x, lo), hi)} : Result<&2, &2, M.MathError, Nat>}
80  {==}