I have to take a test tomorrow.

I have to revise for a biology test.

A formal proof is a complete rendition of a mathematical proof within a formal system.

This is a test.

Therefore, a proof that formula_13 also proves that formula_4 is true.

T proves 1. that is, T proves that if T proves P , then T proves ProvA( ( P )).

This is merely proof of everyone failing to do the right thing.

In other words, T proves that ProvA( ( P )) implies ProvA( (ProvA( (P)))).

We had an examination in English yesterday.

In other words, T proves that ProvA( ( P Q )) and ProvA( ( P )) imply ProvA( ( Q )).

T proves that if T proves that ( P Q ) and T proves P then T proves Q .

In the case of malaria, what we'd like to do is mosquito proof houses.

She failed the math test, so she had to take a remedial class.

I wish there were no examination.

There is only a week left before the examination.

You prove one, you prove the other.

You cannot intercede with God for him whom God would not show the way.

I have to study for a biology test.

The difference is that instead of constructing a new proof, the proof verifier simply checks that a provided formal proof (or, in instructions that can be followed to create a formal proof) is correct.

Imagine a student taking a giant test for three full days.

This is a nuclear proof facility.

I have to study for a biology test.

I have an audition today.

Many bloggers posted photos of their index fingers stained with red electoral ink, proof of their having voted (and proof against multiple voting).

Soft Proofing

Tom is revising for his exam of tomorrow.

Try on that shirt.

We're going to have a test today.

I have proof.

I passed the exam.

I passed the exam.

Typically, the computer can recognize the axioms and logical rules for deriving theorems, and the computer can recognize whether a proof is valid, but to determine whether a proof exists for a statement is only soluble by waiting for the proof or disproof to be generated.

I've known you, and I know, Lewis, deep down, right deep down here, that you are going to make this swim.

No one's ever done it without a shark cage.

Tom got a very high score on today's test.

Full recovery is reached within three months or less.

Consistency a proof that no contradiction can be obtained in the formalism of mathematics.

A substantially similar proof was published by Martin Kutz in 2005.

A proof of this result can be found in Lang's text.

In cases where shifting the burden of proof does not apply, the Portuguese Republic shall continue to require the patent holder to adduce proof of infringement.

We're not the first ones to make paper. We're not the first ones to try to optimize packing space, or to waterproof, or to try to heat and cool a structure.

In cases where shifting the burden of proof does not apply, the Kingdom of Spain shall continue to require the patent holder to adduce proof of infringement.

I keep that for evidence.

How did the exam go?

The proof is trivial.