Proof.below: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/proof.bend as Proof
Lines 46-47 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/proof.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/proof.bend&start_line=46&end_line=47

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/ed25519.bend as SE
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend as L
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/scalar3.bend as S3

def below(+one: Nat, +h1: {one == 1n : Nat}, +x: Nat, +h: {Nat.is_lt(x, SE.ell(one)) == True{} : Bool}) -> {Nat.is_lt(x, 1n+S3.mmL(one)) == True{} : Bool}:
  L.subst(Nat, z => {Nat.is_lt(x, z) == True{} : Bool}, SE.ell(one), 1n+S3.mmL(one), Equal.sym(Nat, 1n+S3.mmL(one), SE.ell(one), ell_m(one, h1)), h)

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/proof.bend&name=ell_m
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/scalar3.bend&name=mmL
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend&name=subst
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/ed25519.bend&name=ell