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Mirrors > Home > ILE Home > Th. List > ax4sp1 | Unicode version |
Description: A special case of ax-4 1400 without using ax-4 1400 or ax-17 1419. (Contributed by NM, 13-Jan-2011.) |
Ref | Expression |
---|---|
ax4sp1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equidqe 1425 | . 2 | |
2 | 1 | pm2.21i 575 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1241 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-5 1336 ax-gen 1338 ax-ie2 1383 ax-8 1395 ax-i9 1423 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-fal 1249 |
This theorem is referenced by: (None) |
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