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The proof is given below.
The proof is given in Appendix C. □.
The proof is given in Appendix D. □.
The proof is given in the Appendix.
The proof is given in Appendix B. □.
The proof is given in Section 3.
The proof is given in three steps.
The proof is given in Appendix A1.
The proof is given in Appendix.
The proof is given in Appendix A. □.
The proof is given in Appendix 1.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com