Question

Construct a valid argument justified by Rule of Proof by Cases

Answer 1

Answer:

Valid: an argument is valid if and only if it is necessary that if all of the premises are true, then the conclusion is true; if all the premises are true, then the conclusion must be true; it is impossible that all the premises are true and the conclusion is false.

Answer 2

The validity of proofs relies heavily on conceptual knowledge.

A formal demonstration that an arguments is legitimate consists of a sequence of statements in which the last statement in the sequence is the argument's conclusion, and each statement in the series is either an assumption of the reasoning or follows logically from premises in the list before it.

The findings imply that in proof validation, mathematicians use a variety of reasoning modes, including formal logic and the production of hard proofs, informal logical thinking, and example-based reasoning.