Description: Version of frnsuppeq avoiding ax-rep by assuming F is a set rather than its domain I . (Contributed by SN, 30-Jul-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | frnsuppeqg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | suppimacnv | |
|
2 | ffun | |
|
3 | inpreima | |
|
4 | 2 3 | syl | |
5 | cnvimass | |
|
6 | fdm | |
|
7 | fimacnv | |
|
8 | 6 7 | eqtr4d | |
9 | 5 8 | sseqtrid | |
10 | sseqin2 | |
|
11 | 9 10 | sylib | |
12 | 4 11 | eqtrd | |
13 | invdif | |
|
14 | 13 | imaeq2i | |
15 | 12 14 | eqtr3di | |
16 | 1 15 | sylan9eq | |
17 | 16 | ex | |