Description: Equality theorem for the A -coset and B -coset of C , inference version. (Contributed by Peter Mazsa, 11-May-2021)
Ref | Expression | ||
---|---|---|---|
Hypothesis | eceq2i.1 | |- A = B |
|
Assertion | eceq2i | |- [ C ] A = [ C ] B |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eceq2i.1 | |- A = B |
|
2 | eceq2 | |- ( A = B -> [ C ] A = [ C ] B ) |
|
3 | 1 2 | ax-mp | |- [ C ] A = [ C ] B |