Negate.pred_succ: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/negate.bend as Negate
Lines 36-39 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/negate.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/negate.bend&start_line=36&end_line=39

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend as NA

# (B - 1) + 1 = B
def pred_succ(+b: Nat, +h: {Nat.is_le(1n, b) == True{} : Bool}) -> {Nat.add(Nat.sub(b, 1n), 1n) == b : Nat}:
  %Equal.sym(Nat, Nat.add(Nat.sub(b, 1n), 1n), Nat.add(1n, Nat.sub(b, 1n)), NA.add_comm(Nat.sub(b, 1n), 1n)) : {_ == b : Nat}
  N.sub_add(b, 1n, 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.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend&name=add_comm
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend&name=sub_add