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DIRECT PROOF

(noun)

Definitions

There is 1 meaning of the phrase Direct Proof.

Direct Proof - as a noun

A way of showing the truth or falsehood of a given statement by a straightforward combination of established facts, usually axioms, existing lemmas and theorems, without making any further assumptions.

Example: "A proof by contraposition of the implication p -> q is a direct proof of ¬q ->¬p (the contrapositive of p -> q)."

Example Sentences

"In mathematics, direct proof is a method of proof that starts from the given statements or assumptions and shows the conclusion directly."
"The direct proof of the Pythagorean theorem involves using the theorem itself to establish the truth of a statement."
"By providing a direct proof of a conjecture, the mathematician can establish its validity beyond doubt."
"In computer science, direct proof techniques are applied to verify the correctness of algorithms."
"The direct proof of the theorem relied on the assumption that the function was continuous."
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