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Exact(59)
Then the following assertions hold.
We need the following assertions.
The following assertions are equivalent.
The following assertions hold true.
The following assertions hold: 1.
Then we have the following assertions.
Then, there hold the following assertions: (2.8).
Lemma 2.1 The following assertions hold.
Then the following assertions are true.
With (2.19), the following assertions are met.
Then the following assertions hold true.
More suggestions(13)
the following representations
the following presumptions
the following arguments
the following propositions
the following affirmations
the following pronouncements
the following utterances
the following statements
the continuing assertions
the following assumptions
the following suppositions
the continued assertions
the subsequent assertions
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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