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Mirrors > Home > MPE Home > Th. List > riotabidva | Structured version Visualization version Unicode version |
Description: Equivalent wff's yield equal restricted class abstractions (deduction rule). (rabbidva 3188 analog.) (Contributed by NM, 17-Jan-2012.) |
Ref | Expression |
---|---|
riotabidva.1 |
Ref | Expression |
---|---|
riotabidva |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | riotabidva.1 | . . . 4 | |
2 | 1 | pm5.32da 673 | . . 3 |
3 | 2 | iotabidv 5872 | . 2 |
4 | df-riota 6611 | . 2 | |
5 | df-riota 6611 | . 2 | |
6 | 3, 4, 5 | 3eqtr4g 2681 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wceq 1483 wcel 1990 cio 5849 crio 6610 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-rex 2918 df-uni 4437 df-iota 5851 df-riota 6611 |
This theorem is referenced by: riotabiia 6628 dfceil2 12640 cidpropd 16370 grpinvpropd 17490 mirval 25550 mirfv 25551 grpoidval 27367 adjval2 28750 xdivval 29627 toslub 29668 tosglb 29670 ringinvval 29792 glbconN 34663 cdlemk33N 36197 cdlemk34 36198 cdlemkid4 36222 |
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