Difference between Prove and Convince

PROVE vs CONVINCE: NOUN

Increase in volume
Put to the test, as for its quality, or give experimental use to
Take a trial impression of
Provide evidence for
Cause to puff up with a leaven
Obtain probate of
Prove formally; demonstrate by a mathematical, formal proof
Be shown or be found to be
Simple past of proove.
To demonstrate that something is true or viable; to give proof for.
To turn out; to manifest.
To turn out to be.
To put to the test, to make trial of.
To experience
Establish the validity of something, as by an example, explanation or experiment

Make (someone) agree, understand, or realize the truth or validity of something
To make someone believe, or feel sure about something, especially by using logic, argument or evidence.
To overcome, conquer, vanquish.
To confute; to prove wrong.

To establish by the required amount of evidence.
To make trial; to essay.
To be found by experience, trial, or result; to turn out to be
To succeed; to turn out as expected.
To establish the authenticity of (a will).
To demonstrate the validity of (a hypothesis or proposition).
To show (oneself) to be what is specified or to have a certain characteristic.
To verify (the result of a calculation).
To subject (a gun, for instance) to a test.
To make a sample impression of (type); proof.
To establish the truth or validity of (something) by the presentation of argument or evidence.
To find out or learn (something) through experience.
To be shown to be such; turn out.
To demonstrate the reality of (something).

To take a trial impression of; to take a proof of.
To test, evince, ascertain, or verify, as the correctness of any operation or result; thus, in subtraction, if the difference between two numbers, added to the lesser number, makes a sum equal to the greater, the correctness of the subtraction is proved.
To gain experience of the good or evil of; to know by trial; to experience; to suffer.
To evince, establish, or ascertain, as truth, reality, or fact, by argument, testimony, or other evidence.
To ascertain or establish the genuineness or validity of; to verify.
To try or to ascertain by an experiment, or by a test or standard; to test

To prove guilty; to convict.
To confute; to prove the fallacy of.
To overcome by argument; to force to yield assent to truth; to satisfy by proof.
To overpower; to overcome; to subdue or master.
To conquer; overpower.
To prove to be wrong or guilty.
To cause (someone) by the use of argument or evidence to believe something or to take a course of action. : persuade.

To thrive; be with young: generally said of cattle.
Hence To become; be.
To be found or ascertained to be by experience or trial; be ascertained or shown by the event or something subsequent; turn out to be: as, the report proves to be true; to prove useful or wholesome; to prove faithful or treacherous.
To make trial; essay.
Synonyms To verify, justify, confirm, substantiate, make good, manifest.
In printing, to take a proof of.
In arithmetic, to ascertain or demonstrate the correctness of (an operation or result) by a calculation in the nature of a check: as, to prove a sum.
To have personal experience of; experience; enjoy or suffer.
To establish the authenticity or validity of; obtain probate of: as, to prove a will. See probate.
To render certain; put out of doubt (as a proposition) by adducing evidence and argumentation; show; demonstrate.
To succeed; turn out well.
To try by experiment, or by a test or standard; test; make trial of; put to the test: as, to prove the strength of gunpowder; to prove the contents of a vessel by comparing it with a standard measure.
In homeopathic practice, to test the therapeutic action of (a drug) by observing the symptoms following its administration in appreciable amounts to persons in health.
Prove formally

To persuade or satisfy by argument or evidence; cause to believe in the truth of what is alleged; gain the credence of: as, to convince a man of his errors, or to convince him of the truth.
To evince; demonstrate; prove.
To refute; show to be wrong.
To overpower; conquer; vanquish.
To convict; prove or find guilty.
Synonyms Convince, Persuade. To convince a person is to satisfy his understanding as to the truth of a certain statement; to persuade him is, by derivation, to affect his will by motives; but it has long been used also for convince, as in Luke xx. 6, “they be persuaded that John was a prophet.” There is a marked tendency now to confine persuade to its own distinctive meaning.

Essay, Turn out, Try out, Rise, Leaven, Shew, Try, Raise, Testify, Examine, Test, Show, Evidence, Establish, Demonstrate

Sway, Motivate, Coax, Dissuade, Compel, Assure, Prove, Woo, Impress, Reassure, Entice, Persuade, Win over, Convert, Turn

Disprove, Bear witness, Essay, Turn out, Rise, Shew, Try, Raise, Testify, Examine, Test, Show, Evidence, Establish, Demonstrate

Pretend, Sway, Motivate, Coax, Dissuade, Compel, Assure, Prove, Woo, Impress, Reassure, Entice, Persuade, Win over, Turn

They too had come with something to prove.
Remember, specials skills are typically easier to prove.
We have the stats to prove our success.
IDPs must have documentation to prove their identities.
Find ways to prove it, shift your focus to finding ways to prove it.
Committing the error of trying to get someone else to prove you are wrong, when it is your responsibility to prove you are correct.
Think about the law and what you can prove and what you yet need to prove.
Explain why blood type data cannot prove who the father of a baby E, and can only prove who the father is not.
Main applicant must prove that they have enough funds to make the required investment, and prove the legal source of these funds.
We, too sanguine enthusiasm would a plan eventually prove all the then, but prove an ultimate cure in the future.