Description: Strong (or "total") induction principle over an upper set of integers. (Contributed by Scott Fenton, 16-May-2014)
Ref | Expression | ||
---|---|---|---|
Hypotheses | uzsinds.1 | |
|
uzsinds.2 | |
||
uzsinds.3 | |
||
Assertion | uzsinds | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | uzsinds.1 | |
|
2 | uzsinds.2 | |
|
3 | uzsinds.3 | |
|
4 | ltweuz | |
|
5 | fvex | |
|
6 | exse | |
|
7 | 5 6 | ax-mp | |
8 | preduz | |
|
9 | 8 | raleqdv | |
10 | 9 3 | sylbid | |
11 | 4 7 1 2 10 | wfis3 | |