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The phrase 'the above condition' is correct and can be used in written English.
Generally, it is used to refer back to a previous statement or condition that has been mentioned. For example: If you do not comply with the terms and conditions outlined above, your account will be disabled. The above condition may not be altered in any way.
Dictionary
the above condition
adverb
Directly overhead; vertically on top of.
Exact(60)
Under the above condition, the desired conditional expected value is.
This satisfies the above condition.
The above condition is called Condition.
The above condition is guaranteed with and.
In [8 13], the above condition is removed.
Assume that the above condition is satisfied and let.
The above condition is equivalent to condition (15).
Theorem 1.2 Let the above condition (H1) hold.
A new class of digraphs satisfying the above condition on the graph Laplacian is studied.
If restricted to finite sets Γ, the above condition corresponds to completeness.
The above condition appears satisfied in many intuitive cases of transmission of justification.
More suggestions(16)
the aforesaid condition
the above requirement
the previous condition
the above term
the above qualification
the earlier condition
the preceding condition
the better condition
the above conditions
the above criteria
the above requirements
the above prerequisites
the before condition
the above terms
the best condition
the above conditional
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com