Description: Bound-variable hypothesis builder for indexed union. (Contributed by Emmett Weisz, 6-Dec-2019) Add disjoint variable condition to avoid ax-13 . See nfiundg for a less restrictive version requiring more axioms. (Revised by Gino Giotto, 20-Jan-2024)
Ref | Expression | ||
---|---|---|---|
Hypotheses | nfiund.1 | |
|
nfiund.2 | |
||
nfiund.3 | |
||
Assertion | nfiund | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfiund.1 | |
|
2 | nfiund.2 | |
|
3 | nfiund.3 | |
|
4 | df-iun | |
|
5 | nfv | |
|
6 | 3 | nfcrd | |
7 | 1 2 6 | nfrexdw | |
8 | 5 7 | nfabdw | |
9 | 4 8 | nfcxfrd | |