Description: Value of a prefix operation. This theorem should only be used in proofs if L e. NN0 is not available. Otherwise (and usually), pfxval should be used. (Contributed by AV, 3-Dec-2022) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | pfxval0 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pfxval | |
|
2 | simpr | |
|
3 | 2 | con3i | |
4 | 3 | adantl | |
5 | pfxnndmnd | |
|
6 | 4 5 | syl | |
7 | simpr | |
|
8 | 7 | con3i | |
9 | swrdnnn0nd | |
|
10 | 8 9 | sylan2 | |
11 | 6 10 | eqtr4d | |
12 | 1 11 | pm2.61dan | |