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The phrase "after first displaying" is correct and usable in written English.
It can be used when describing a sequence of actions where something is shown or presented before another action takes place.
Example: "The results will be analyzed after first displaying the initial data to the team."
Alternatives: "after initially showing" or "after presenting first".
Exact(2)
That is where Tuesday's argument wound up — with Kennedy, after first displaying a very deep skepticism, leaving the impression that he might yet be the mandate's savior".
After first displaying his penchant for the tactless in early June with a break-up tweet to then-girlfriend, pop singer and Jay Z protégé Rita Ora, Harris followed up by denying her a scheduled Teen Choice Awards performance.
Similar(58)
Seven other players and chaperones fell ill afterwards, although none had come in direct contact with the original patient after she first displayed symptoms.
Nelson returned to the painting about an hour after it was first displayed.
One day after culturing in ultra-low adherence dishes, CD51+ cells adhered to the plastic, presented a spindle-shaped morphology and then were able to form non-adherent primary spheres 7 days after first passage, displaying a similar phenotype to Nes-GFP+ cells.
An experimental trial was terminated 30min after the first display of a butterfly, after which the bird was caught and released to its home pen.
Nothing suggests, however, that the single action must be performed after every display or even immediately after the first display of information.
Therefore, neither the written description nor the plain meaning of the claims require that single action ordering be possible after each and every display of information (or even immediately after the first display of information).
However, as we now discuss in detail, we ultimately agree with Amazon and construe all four independent claims (i.e., claims 1, 6, 9, and 11) to call for the single action to be performed immediately after a display of information about an item and without any intervening action, but not necessarily immediately after the first display or every display.
The above passages indicate that the written description is not concerned with what happens on every display of information, or even immediately after the first display, but only that there be some display from which single action ordering can be performed.
After the first display stage, the application enters in a cycle (waiting for a user's input that change status in order to make new display changes) or quits.
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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