def plus_fst
import bend-collections-laws-math@1.0.0.0/proofs/math/random/wrappers.bend as Wrappersimport Base
import bend-collections-laws-math@1.0.0.0/src/math/random/rand.bend as R
251def plus_fst(-S: Data, +lo: Nat, r: Nat & S) -> {R.fst(Nat, S, R.plus(S, lo, r)) == Nat.add(lo, R.fst(Nat, S, r)) : Nat}:
252 match r:
253 case Tuple{k, s}:
254 {==}