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Mirrors > Home > NFE Home > Th. List > isoeq3 | Unicode version |
Description: Equality theorem for isomorphisms. (Contributed by set.mm contributors, 17-May-2004.) |
Ref | Expression |
---|---|
isoeq3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | breq 4641 | . . . . 5 | |
2 | 1 | bibi2d 309 | . . . 4 |
3 | 2 | 2ralbidv 2656 | . . 3 |
4 | 3 | anbi2d 684 | . 2 |
5 | df-iso 4796 | . 2 | |
6 | df-iso 4796 | . 2 | |
7 | 4, 5, 6 | 3bitr4g 279 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 wceq 1642 wral 2614 class class class wbr 4639 wf1o 4780 cfv 4781 wiso 4782 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 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-nf 1545 df-cleq 2346 df-clel 2349 df-ral 2619 df-br 4640 df-iso 4796 |
This theorem is referenced by: (None) |
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