F64cmp.esub: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64cmp.bend as F64cmp
Lines 104-105 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64cmp.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64cmp.bend&start_line=104&end_line=105

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/f64.bend as SF
import bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend as NA

def esub(+E: Nat) -> {Nat.sub(Nat.add(E, SF.zb()), 1075n) == Nat.add(1925n, E) : Nat}:
  Equal.trans(Nat, Nat.sub(Nat.add(E, SF.zb()), 1075n), Nat.sub(Nat.add(SF.zb(), E), 1075n), Nat.add(1925n, E), Equal.cong(Nat, Nat, z => Nat.sub(z, 1075n), Nat.add(E, SF.zb()), Nat.add(SF.zb(), E), NA.add_comm(E, SF.zb())), {==})

Uses (7):
  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
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=zb