Conditional proofs are an important part of logical reasoning.

The devil's proofs are often used to challenge religious beliefs.

Ontological proofs are philosophical arguments for the existence of God.

Proofs of concepts are essential for validating new ideas.

Proofs-of-concept are essential for validating new ideas.

The multiple success stories are proofs positive of the effectiveness of our program.

The India proofs are highly sought after by collectors.

There are many proofs of stake algorithms in the blockchain industry.

There are many proofs of work in the blockchain industry.

Investing in renewable energy future-proofs our business.