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Mirrors > Home > MPE Home > Th. List > isoeq2 | Structured version Visualization version Unicode version |
Description: Equality theorem for isomorphisms. (Contributed by NM, 17-May-2004.) |
Ref | Expression |
---|---|
isoeq2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | breq 4404 |
. . . . 5
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2 | 1 | bibi1d 321 |
. . . 4
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3 | 2 | 2ralbidv 2832 |
. . 3
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4 | 3 | anbi2d 710 |
. 2
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5 | df-isom 5591 |
. 2
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6 | df-isom 5591 |
. 2
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7 | 4, 5, 6 | 3bitr4g 292 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1669 ax-4 1682 ax-5 1758 ax-ext 2431 |
This theorem depends on definitions: df-bi 189 df-an 373 df-ex 1664 df-cleq 2444 df-clel 2447 df-ral 2742 df-br 4403 df-isom 5591 |
This theorem is referenced by: leiso 12622 gtiso 28281 |
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