1. (z·x), you simplify 2. x 3. z (more simply) 4. x⊃y, you simplify 5. y, by 2 and 4, MP 6. x·y, by 2 and 5 7. (x·y) · z, by 6 and 3 QED
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TRANSCRIBED: If ‘x’ then ‘y’ and ‘z’ and ‘x’ it follows that ‘x’, and ‘y’, and ‘z’. One, ‘z’ and ‘x’ – you simplify. Two, ‘x’; three, ‘z’ more simply. Four: ‘x’, then ‘y’, you simplify. Five: ‘y’ by two and four M.P. Six: ‘x’ and ‘y’, by two and five. Seven: ‘x’ and ‘y’, and ‘z’ by six and three. Q.E.D.