def sc_pos
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend as Wordimport Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N
303def sc_pos(+k: Nat) -> {Nat.is_lt(0n, sc(k, 1n)) == True{} : Bool}:
304 match k:
305 case 0n:
306 {==}
307 case 1n+j:
308 N.double_lt(0n, sc(j, 1n), sc_pos(j))