The engineers ran a proof to verify the bridge's load-bearing capacity before opening it to traffic.

In his dissertation, he compiled several negative proofs to demonstrate that the proposed algorithm fails on certain edge cases.

The researchers compiled multiple proofs positive demonstrating the effectiveness of the new vaccine.

I assigned several proofs by contradiction on the homework to help students practice indirect reasoning.

The paper was criticized for relying too heavily on proofs by example instead of offering general arguments.

The archival researcher discovered several India proofs tucked inside the old ledger.

Researchers compared the security and energy consumption of several proofs of stake across different blockchain implementations.

Researchers compared several proofs of work to assess which algorithm required less energy.

The new modular design future-proofs the device against upcoming technological changes.

She dummy-proofs the new interface to prevent user errors.