Description: The square of a binomial with factor. (Contributed by AV, 19-Jul-2021)
Ref | Expression | ||
---|---|---|---|
Assertion | mulbinom2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mulcl | |
|
2 | 1 | ancoms | |
3 | 2 | 3adant2 | |
4 | simp2 | |
|
5 | binom2 | |
|
6 | 3 4 5 | syl2anc | |
7 | mulass | |
|
8 | 7 | 3coml | |
9 | 8 | oveq2d | |
10 | 2cnd | |
|
11 | simp3 | |
|
12 | mulcl | |
|
13 | 12 | 3adant3 | |
14 | 10 11 13 | mulassd | |
15 | 9 14 | eqtr4d | |
16 | 15 | oveq2d | |
17 | 16 | oveq1d | |
18 | 6 17 | eqtrd | |