Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > nfan | Structured version Visualization version Unicode version |
Description: If is not free in and , it is not free in . (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof shortened by Wolf Lammen, 13-Jan-2018.) (Proof shortened by Wolf Lammen, 9-Oct-2021.) |
Ref | Expression |
---|---|
nfan.1 | |
nfan.2 |
Ref | Expression |
---|---|
nfan |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfan.1 | . . . 4 | |
2 | 1 | a1i 11 | . . 3 |
3 | nfan.2 | . . . 4 | |
4 | 3 | a1i 11 | . . 3 |
5 | 2, 4 | nfand 1826 | . 2 |
6 | 5 | trud 1493 | 1 |
Copyright terms: Public domain | W3C validator |