BinaryDivision.rotate: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/binary_division.bend as BinaryDivision
Lines 47-49 of stelliferous@0.0.2.0/proofs/binary_division.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/binary_division.bend&start_line=47&end_line=49

import Base
import stelliferous@0.0.2.0/proofs/natural_addition.bend as Addition
import stelliferous@0.0.2.0/proofs/nat_order.bend as Order

def rotate(+a: Nat,+b: Nat,+c: Nat) -> {Nat.add(Nat.add(a,b),c) == Nat.add(b,Nat.add(c,a)) : Nat}:
  Equal.trans(Nat,Nat.add(Nat.add(a,b),c),Nat.add(a,Nat.add(b,c)),Nat.add(b,Nat.add(c,a)),Addition.associative(a,b,c),Equal.trans(Nat,
      Nat.add(a,Nat.add(b,c)),Nat.add(Nat.add(b,c),a),Nat.add(b,Nat.add(c,a)),Order.commutative(a,Nat.add(b,c)),Addition.associative(b,c,a)))

Uses (5):
  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=stelliferous@0.0.2.0/proofs/nat_order.bend&name=commutative
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/natural_addition.bend&name=associative