Description: Negating one operand of the gcd operator does not alter the result. (Contributed by Paul Chapman, 22-Jun-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | neggcd | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | gcdneg | |
|
2 | 1 | ancoms | |
3 | znegcl | |
|
4 | gcdcom | |
|
5 | 3 4 | sylan | |
6 | gcdcom | |
|
7 | 2 5 6 | 3eqtr4d | |