Rconst.le_cancel_l: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/rconst.bend as Rconst
Lines 71-72 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/rconst.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/rconst.bend&start_line=71&end_line=72

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/arith.bend as NR

def le_cancel_l(+c: Nat, +x: Nat, +y: Nat, +h: {Nat.is_le(Nat.add(c, x), Nat.add(c, y)) == True{} : Bool}) -> {Nat.is_le(x, y) == True{} : Bool}:
  Equal.trans(Bool, Nat.is_le(x, y), Nat.is_le(Nat.add(c, x), Nat.add(c, y)), True{}, Equal.sym(Bool, Nat.is_le(Nat.add(c, x), Nat.add(c, y)), Nat.is_le(x, y), NR.le_add_cancel(c, x, y)), h)

Uses (7):
  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=Equal.trans
  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=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/arith.bend&name=le_add_cancel