The term "cross-checking with" is correct and can be used in written English.
You can use it to refer to the process of using one source of information in order to verify the accuracy of another one. For example, "We cross-checked the data collected from the survey with the results of the focus group to ensure accuracy."
The Times spent about a month mining the data for disclosures and patterns, verifying and cross-checking with other information sources, and preparing the articles that are published today.
Field verification data were employed for cross-checking with the model outputs.
Not only is this cumbersome but it also means that experiments are prone to mistakes and can be especially hard to replicate and therefore validate, either by a team working together internally or when sharing and cross-checking with the wider scientific and research community.
Of the total set of 78 genes, ∼37 (∼47%) were not previously documented as ovarian genes, as determined by an extensive literature review and cross-checking with online databases (PubMed and Ovarian Kaleidoscope Database).
Modifications were validated by cross-checking with village population lists provided by Savera, a local nongovernmental organization.
This was done using the APGAR score recorded on the delivery record and cross-checking with hospital records for the period.
Sometimes, she'll cross-check with counterparts like Chris Petrikin at 20th Century Fox or Sue Fleishman at Warner Brothers.
"The court calendars are public records and easy for immigration officials to peruse and cross-check with their databases".
In addition we began researching online and asked the Guardian's correspondent in Mexico City to help cross-check with local historians.
They then cross-checked with the Environmental Protection Agency's air quality index, which rates pollution levels in six general categories, beginning with "good," then "moderate" and, at the very worst, "hazardous".
Since these data come from the time period after our fieldwork was conducted cross checking with primary data is not possible.
