Prepositions after verbs

How to use prove with to and by

Prove to and prove by have different meanings. To introduces the person receiving proof, while by introduces the method or evidence.

Quick answer

Key difference

Use prove to someone when showing that something is true to a person or group. Use prove by something when describing the evidence or method used to demonstrate truth.

She proved to the jury that she was innocent.
The theory was proved by careful testing.

Choose the pattern by meaning

These forms are not interchangeable. Choose the construction by meaning, not by which preposition appears most often.

1
prove to + person

Showing something to someone

To introduces the person who becomes convinced.

He proved to his manager that the plan could work.
2
prove by + method/evidence

Showing the evidence used

By introduces the method, evidence, or process used for proof.

The claim was proved by laboratory results.
3
prove + object clause

Stating what is proven

Prove can also be used directly with a clause or object.

The report proved that the system was unsafe.

See the difference in context

The same subject can take different constructions because each sentence answers a different question.

Construction
Example
Meaning
prove to
They proved to investors that the project was viable.
convince someone
prove by
The result was proved by repeated experiments.
show evidence or method
prove with
The point was proved with data.
with is also possible for evidence in many contexts
prove for
Nonstandard with this meaning.
for is not normally used after prove in these patterns

Common mistakes

Some combinations appear in real text but do not mean what learners often assume.

Using by for the audience

By introduces evidence, not the person convinced.

✕ She proved by the court that she was honest. ✓ She proved to the court that she was honest.

Using to for evidence

To does not introduce the method of proof.

✕ The theory was proved to experiments. ✓ The theory was proved by experiments.

Forgetting the object after prove to

The structure usually includes what was proven.

✕ He proved to his parents. ✓ He proved to his parents that he was responsible.

Quick practice

Choose the expression that matches the intended meaning.

1. The scientist proved ___ the committee that the data were accurate.
2. The statement was proved ___ video evidence.
3. They proved ___ repeated testing that the machine was safe.

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Frequently asked questions

Can prove be used without a preposition?

Yes. You can say prove something or prove that something is true.

Is prove by common in scientific writing?

Yes. It is often used to describe methods or evidence.

What comes after prove to?

Usually a person or group, followed by what was proven.

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