Description: Lemma for knoppcn . (Contributed by Asger C. Ipsen, 4-Apr-2021) (Revised by Asger C. Ipsen, 5-Jul-2021)
Ref | Expression | ||
---|---|---|---|
Hypotheses | knoppcnlem5.t | |
|
knoppcnlem5.f | |
||
knoppcnlem5.n | |
||
knoppcnlem5.1 | |
||
Assertion | knoppcnlem5 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | knoppcnlem5.t | |
|
2 | knoppcnlem5.f | |
|
3 | knoppcnlem5.n | |
|
4 | knoppcnlem5.1 | |
|
5 | 3 | ad2antrr | |
6 | 4 | ad2antrr | |
7 | simpr | |
|
8 | simplr | |
|
9 | 1 2 5 6 7 8 | knoppcnlem3 | |
10 | 9 | recnd | |
11 | 10 | fmpttd | |
12 | cnex | |
|
13 | reex | |
|
14 | 12 13 | pm3.2i | |
15 | elmapg | |
|
16 | 14 15 | ax-mp | |
17 | 11 16 | sylibr | |
18 | 17 | fmpttd | |