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proof

proof

36 6.0
A set of logical steps showing a statement is true
  • noun
  • /pruːf/
  • Specialized
translation icon : demostración
  • In the scientific field, he succeeded with an experimental proof of Maxwell's theory of electromagnetic induction.
  • proof of a theorem
  • logical proof
  • an elegant proof

What are the canonical proofs of equality?

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Examples

  • If you want to see the proof, log on to my math course.

  • In mathematics, the teacher provided a clear proof to demonstrate why the theorem is valid.

  • OK, So that is the proof of this property.

  • The number of steps in the proof is greater than the number itself.

    Fiction book (1998)
  • But you could use this theorem in the proof of this statement.

  • All right, let me sketch a proof of this theorem.

  • In this appendix, we give the details of the proof of Theorem 5.11.

    Academic text (1994)
  • One of the everlasting problems that perplexes scholars is the proof of God's existence.

    Fiction book (1992)
  • She was thrilled when her proof of the equation was accepted by the conference committee.

  • The mathematician spent hours working on his proof to ensure no errors were present.

Synonyms

verification
vsproof
34 3.9

Extra proof that shows something is correct

seeks to derive conclusion necessarily from premises rather than confirm
8 4.2

A set of connected reasons that lead to a conclusion

requires a formal sequence proving necessity not just supporting a claim
demonstration
vsproof
  • Specialized
5 4.1

A clear proof that shows an idea is true

emphasizes strict logical necessity rather than a general showing
4 4.3

A set of clear reasons that show why an idea is true or false

aims only to show that the conclusion follows necessarily from premises
mathematical proof
vsproof
  • Specialized
1 5.9

A logical argument that shows a mathematical statement is true

focuses on necessary logical sequence beyond specific mathematical methods
logical proof
vsproof
  • Specialized
1 5.5

A set of clear steps that show a statement must be true

is the broader general sequence used especially in mathematics

Antonyms

refutation
  • Formal
10 6.8

An argument or evidence that proves a claim wrong

1 6.8

A fact or argument that shows an idea is not true

Compounds

39 5.4

The duty to show evidence that a claim is true

28 3.5

A person or thing whose life shows something can be true

mathematical proof
  • Specialized
1 5.9

A logical argument that shows a mathematical statement is true

1 2.7

A document that shows who you are, like a passport or driver's licence

direct proof
  • Specialized
1 6.6

A way to show something is true by using known facts and simple logical steps

logical proof
  • Specialized
1 5.5

A set of clear steps that show a statement must be true

galley proof
  • Specialized
1 7.7

A printed copy used to check text for mistakes before final printing

A layer of waterproof material in a wall near the ground that stops water rising

dummy-proof
  • Informal
6.5

Easy to use so people with no skill cannot make mistakes

foundry proof
  • Archaic
9.9

A first printed copy used to check letters and layout before final printing

proof spirit
  • Specialized
8.4

A liquid with fifty percent alcohol that serves as a standard for measuring alcohol strength

4.4

Able to keep a certain thing out and not be affected by it

How Rigorous

Mizar
  • Specialized
9.9
proof
  • Specialized
36 6.0
argument
2.5
conjecture
43 7.8

Surface Forms

proof singular
proofs plural

Etymology

Proof comes from the Latin root probare 'to test' and is the same idea as prove. In mathematics a proof is a careful test of each step so we can be sure the conclusion must be true.