"with our knowledge" is correct and usable in written English.
You can use it to indicate an understanding or insight shared by a group or collective. For example, "We're committed to helping our community, with our knowledge and resources."
"With our knowledge of the present world, we can use the power of weakness.
With our knowledge and unwavering commitment to our clients, our firm produces consistent and impressive results.
Aligning our treatment methods with our knowledge might knock heart disease off its perch as our most deadly and costly disease.
"We feel that the information regarding the pregnancies in Sweden was consistent with our knowledge concerning the pregnancy risks associated with this device," she said.
"People like him and myself have helped the British enormously with our knowledge, so why do the British authorities permit the assassins to travel into Britain?" he asked.
With our knowledge of Burns's quick slide into obscurity, it is hard to be anything other than baffled and irritated at his overweening egoism.
This, combined with our knowledge that consumers rarely adjust the default settings, means that a few companies have implicit control over a majority of individual users' privacy settings.
This genomic information, coupled with our knowledge of the genes causing disease mentioned above will give people a genetic roadmap of their potential inherited diseases.
This year's sustainability and innovation survey — the fifth survey in collaboration with our knowledge partner The Boston Consulting Group — delves into questions of climate change.
With our knowledge of iterators, we can implement the execution rule of a for statement in terms of while, assignment, and try statements.
Lastly, vertical variations in lithic componentry, combined with our knowledge of the subsurface geology, are used to quantitatively track the deepening of the fragmentation front.
