Description: A monoid homomorphism preserves zero. (Contributed by Mario Carneiro, 7-Mar-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | mhm0.z | |
|
mhm0.y | |
||
Assertion | mhm0 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mhm0.z | |
|
2 | mhm0.y | |
|
3 | eqid | |
|
4 | eqid | |
|
5 | eqid | |
|
6 | eqid | |
|
7 | 3 4 5 6 1 2 | ismhm | |
8 | 7 | simprbi | |
9 | 8 | simp3d | |