def esub63

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/f64round.bend:805

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

805def esub63(+x: Nat) -> {Nat.sub(Nat.add(x, 63n), 53n) == Nat.add(10n, x) : Nat}:
806  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)), {==})