Exactly the same as the experimental proof: it may only be considered proven when the same procedure can be performed in any laboratory (or notebook) in the World at any time that always provides the same result.
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Mathematical logic.
Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.
DDSDS
Unproven Theorems
Property is not just a mathematical term. It means a characteristic or attribute.