F64round.esub63: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64round.bend as F64round
Lines 805-806 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64round.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64round.bend&start_line=805&end_line=806

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

def esub63(+x: Nat) -> {Nat.sub(Nat.add(x, 63n), 53n) == Nat.add(10n, x) : Nat}:
  Equal.trans(Nat, Nat.sub(Nat.add(x, 63n), 53n), Nat.sub(Nat.add(63n, x), 53n), Nat.add(10n, x), Equal.cong(Nat, Nat, z => Nat.sub(z, 53n), Nat.add(x, 63n), Nat.add(63n, x), NA.add_comm(x, 63n)), {==})

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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.sub
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend&name=add_comm