Ladder.a24_valo: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/ladder.bend as Ladder
Lines 230-233 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/ladder.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/ladder.bend&start_line=230&end_line=233

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/curve25519/x25519.bend as S
import bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/x25519.bend as X
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/consts.bend as K

def a24_valo(+one: Nat) -> {K.valo(one, X.a24()) == S.a24(one) : Nat}:
  %Equal.sym(List<&2, U32>, X.a24(), Con{65, Con{219, Con{1, K.rep(29n, 0, Nil{})}}}, a24_shape()) : {K.valo(one, _) == S.a24(one) : Nat}
  %Equal.sym(Nat, K.valo(one, K.rep(29n, 0, Nil{})), 0n, K.run0(one, 29n, Nil{})) : {Nat.add(Nat.mul(one, v(65)), C.shift(8n, Nat.add(Nat.mul(one, v(219)), C.shift(8n, Nat.add(Nat.mul(one, v(1)), C.shift(8n, _)))))) == S.a24(one) : Nat}
  {==}

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/consts.bend&name=rep
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/consts.bend&name=run0
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/consts.bend&name=valo
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/ladder.bend&name=a24_shape
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/ladder.bend&name=v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/curve25519/x25519.bend&name=a24
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=shift
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/x25519.bend&name=a24