Could someone walk me through the proofs for the following:
Let be a group with identity . Then
1. If a' is a left inverse of a G, then a a' = e.
2. If a,b,c and a c = b c, then a = b.
3. If a,b G and b a = e, then b = a'.
Could someone walk me through the proofs for the following:
Let be a group with identity . Then
1. If a' is a left inverse of a G, then a a' = e.
2. If a,b,c and a c = b c, then a = b.
3. If a,b G and b a = e, then b = a'.