Reduce.u_val: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reduce.bend as Reduce
Lines 221-224 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reduce.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reduce.bend&start_line=221&end_line=224

import Base
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/limbs.bend as L
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend as LV

def u_val(+c: List<&2, Nat>, +t: List<&2, Nat>) -> {LV.ev(L.carry(32n, L.add(t, c), 0n)) == Nat.add(LV.ev(t), LV.ev(c)) : Nat}:
  %Equal.sym(Nat, LV.ev(L.carry(32n, L.add(t, c), 0n)), Nat.add(0n, LV.ev(L.add(t, c))), LV.carry_v(32n, L.add(t, c), 0n)) : {_ == Nat.add(LV.ev(t), LV.ev(c)) : Nat}
  %Equal.sym(Nat, LV.ev(L.add(t, c)), Nat.add(LV.ev(t), LV.ev(c)), LV.add_v(t, c)) : {Nat.add(0n, _) == Nat.add(LV.ev(t), LV.ev(c)) : Nat}
  {==}

Uses (9):
  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=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend&name=add_v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend&name=carry_v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend&name=ev
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/limbs.bend&name=add
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/limbs.bend&name=carry