Writing an even number as an integer

This proofs shows how to write an even number as an integer.

An even number plus an even number is even

This proofs shows that an even number plus another even number will always be even.

An even number plus an odd number is odd

This proofs shows that an even number plus an odd number will always be odd.

An even number times an even number is even

This proofs shows that an even number times an even number will always be even.

An even number times an odd number is even

This proofs shows that an even number times an odd number will always be even.

There are infinitely many natural numbers

This proof shows that there are infinitely many natural numbers.

Writing an odd number as an integer

This proofs shows how to write an odd number as an integer.

An odd number plus an odd number is even

This proofs shows that an odd number plus an odd number will always be even.

An odd number times an odd number is odd

This proofs shows that an odd number times an odd number will always be odd.

The square root of a prime number is always irrational

This proofs shows that the square root of a prime number is always irrational.