Description: Discharge the centralizer assumption in a commutative monoid. (Contributed by Mario Carneiro, 24-Apr-2016)
Ref | Expression | ||
---|---|---|---|
Hypotheses | cntzcmnf.b | |
|
cntzcmnf.z | |
||
cntzcmnf.g | |
||
cntzcmnf.f | |
||
Assertion | cntzcmnf | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cntzcmnf.b | |
|
2 | cntzcmnf.z | |
|
3 | cntzcmnf.g | |
|
4 | cntzcmnf.f | |
|
5 | 4 | frnd | |
6 | 1 2 | cntzcmn | |
7 | 3 5 6 | syl2anc | |
8 | 5 7 | sseqtrrd | |