Description: Lemma for stoweid . This Lemma is used by other three Lemmas. (Contributed by Glauco Siliprandi, 20-Apr-2017)
Ref | Expression | ||
---|---|---|---|
Hypotheses | stoweidlem12.1 | |
|
stoweidlem12.2 | |
||
stoweidlem12.3 | |
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stoweidlem12.4 | |
||
Assertion | stoweidlem12 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | stoweidlem12.1 | |
|
2 | stoweidlem12.2 | |
|
3 | stoweidlem12.3 | |
|
4 | stoweidlem12.4 | |
|
5 | simpr | |
|
6 | 1red | |
|
7 | 2 | ffvelrnda | |
8 | 3 | adantr | |
9 | 7 8 | reexpcld | |
10 | 6 9 | resubcld | |
11 | 4 3 | jca | |
12 | 11 | adantr | |
13 | nn0expcl | |
|
14 | 12 13 | syl | |
15 | 10 14 | reexpcld | |
16 | 1 | fvmpt2 | |
17 | 5 15 16 | syl2anc | |