as we already showed vs as we have shown

Both "as we already showed" and "as we have shown" are correct phrases, but they are used in slightly different contexts. "As we already showed" is used when referring to something that was demonstrated or presented in the past, while "as we have shown" is used when emphasizing the completion of the action of showing or demonstrating. The choice between the two depends on the specific context and the emphasis the speaker wants to convey.

Last updated: March 17, 2024

as we already showed

This phrase is correct and commonly used when referring to something that was demonstrated or presented in the past.

This phrase is used to refer to something that was previously demonstrated or presented. It emphasizes that the action of showing has already taken place.

Show examples from the web [+]

compared with the matter-dominated era, when a ≫ ar,m; in this case a ∝ t2/3, as we already showed for a flat universe containing only matter. So the universe ...
And, as we already showed that this equals r1 sin z1 or p, we see that this refractive invariant is still preserved after a second refraction; the right side of the last ...
Oct 13, 2015 ... ... you might remember this watch, as we already showed you a preview, a prototype worn by Guillaume Tetu himself (the CEO of Hautlence).
Mar 6, 2014 ... As we already showed you, they certainly don't need to be! On top of the core functionality shown there, PivotTables are very versatile, and are ...

Alternatives:

as we demonstrated earlier
as we previously showed

as we have shown

This phrase is correct and commonly used when emphasizing the completion of the action of showing or demonstrating.

This phrase is used to emphasize that the action of showing or demonstrating has been completed. It highlights the relevance of the demonstration to the current discussion.

Show examples from the web [+]

318 Topics in time series econometrics J. As we have shown before, if a regressor is correlated with the error term, the OLS estimators are not only biased but ...
... from non-resident aliens and foreign corporations, as we have shown, and there were no other entities authorized anywhere in the law to withhold income tax.
Received for publication May 5, 1938. As we have shown previously, the Rhesus monkey may be sensitized and shocked with egg-white (1, 2, 3). In the present.
As we have shown, in the standard perifocal frame (i.e., special coordinate system with the line through the perigee and the focus as the x-axis [called the apse ...

Alternatives:

as we have demonstrated
as we have illustrated

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as we already showed vs as we have shown