Answer
It is true that 1 − 0.99999... is less than every positive real number
Work Step by Step
If 1 − 0.99999... is less than every positive real number,
then it equals zero.
It is true that 1 − 0.99999... is less than every positive real number
∴ The number 1 − 0.99999... equals zero.
Modus Ponens:
If p then q.
p is true therefore so is q.