TEST BANK FOR Principles of Mathematical Analysis

Exam (elaborations) TEST BANK FOR Principles of Mathematical Analysis Similarly, it follows from Definition 1.12(M2), (M3), (M4) and (M5) that xy = x implies that y = 1. (c) Similarly, it follows from Definition 1.12(M2), (M3), (M4) and (M5) that xy = 1 implies that y = 1 x . (d) Since 1 x ∈ F, we have 1 1 x ∈ F such that 1 x · 1 1 x = 1. Now we have 1 x · 1 1 x = 1 x ·x(= 1), then Proposition 1.15(a) implies that 1 1 x = x. This completes the proof of the...