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Mirrors > Home > NFE Home > Th. List > eqeq12 | Unicode version |
Description: Equality relationship among 4 classes. (Contributed by NM, 3-Aug-1994.) |
Ref | Expression |
---|---|
eqeq12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq1 2359 | . 2 | |
2 | eqeq2 2362 | . 2 | |
3 | 1, 2 | sylan9bb 680 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 wceq 1642 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-11 1746 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-cleq 2346 |
This theorem is referenced by: eqeq12i 2366 eqeq12d 2367 eqeqan12d 2368 dfpw12 4301 fununiq 5517 fntxp 5804 pw1fnf1o 5855 fundmen 6043 ncdisjeq 6148 peano4nc 6150 sbth 6206 tc11 6228 fnfrec 6320 |
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