Section 1.4, part 3 (First example of a direct proof)

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Section 1.4, part 1 (Structure of a direct proof of for all x, P(x) implies Q(x))

Section 1.4, part 4 (Second example of a direct proof)

Section 1.4, part 6 (A direct proof involving cases)

Section 1.4, part 5 (Direct proof involving inequalities)

Section 1.4, part 2 (First working definitions)

Introduction to Direct Proof - Part 3

Section 1.3, part 3 (Useful denials of for all x, P(x) and there exists x such that P(x))

❖ Four Basic Proof Techniques Used in Mathematics ❖