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Exact(10)
The proof is elementary.
The proof is elementary and omitted here.
The analysis used in the proof is elementary.
The proof is elementary and it is omitted here.
The proof is elementary and left to the reader.
We will need the following result whose proof is elementary.
Similar(50)
The proof is simple by elementary calculation.
Our proofs are elementary.
The proofs are elementary, so they are omitted.
Weyl's proof is quite elementary involving appropriate substitutions and index manipulations.
On the other hand, our proof is more elementary and geometrically instructive.
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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