Description: A simplified satisfaction predicate as function over wff codes over an empty model is an empty set. (Contributed by AV, 31-Oct-2023)
Ref | Expression | ||
---|---|---|---|
Assertion | sate0fv0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 0ex | ||
2 | satef | ||
3 | 1 2 | mp3an1 | |
4 | 3 | ex | |
5 | f00 | ||
6 | 5 | simplbi | |
7 | 4 6 | syl6 |