Description: Function analogue of divrec , a division analogue of ofnegsub . (Contributed by Steve Rodriguez, 3-Nov-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | ofdivrec | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp1 | |
|
2 | simp2 | |
|
3 | 2 | ffnd | |
4 | ax-1cn | |
|
5 | fnconstg | |
|
6 | 4 5 | mp1i | |
7 | simp3 | |
|
8 | 7 | ffnd | |
9 | inidm | |
|
10 | 6 8 1 1 9 | offn | |
11 | 3 8 1 1 9 | offn | |
12 | eqidd | |
|
13 | 1cnd | |
|
14 | eqidd | |
|
15 | 1 13 8 14 | ofc1 | |
16 | ffvelcdm | |
|
17 | 2 16 | sylan | |
18 | ffvelcdm | |
|
19 | eldifsn | |
|
20 | 18 19 | sylib | |
21 | 7 20 | sylan | |
22 | divrec | |
|
23 | 22 | eqcomd | |
24 | 23 | 3expb | |
25 | 17 21 24 | syl2anc | |
26 | 3 8 1 1 9 12 14 | ofval | |
27 | 25 26 | eqtr4d | |
28 | 1 3 10 11 12 15 27 | offveq | |