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Mirrors > Home > MPE Home > Th. List > ssintrab | Structured version Visualization version Unicode version |
Description: Subclass of the intersection of a restricted class builder. (Contributed by NM, 30-Jan-2015.) |
Ref | Expression |
---|---|
ssintrab |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rab 2921 | . . . 4 | |
2 | 1 | inteqi 4479 | . . 3 |
3 | 2 | sseq2i 3630 | . 2 |
4 | impexp 462 | . . . 4 | |
5 | 4 | albii 1747 | . . 3 |
6 | ssintab 4494 | . . 3 | |
7 | df-ral 2917 | . . 3 | |
8 | 5, 6, 7 | 3bitr4i 292 | . 2 |
9 | 3, 8 | bitri 264 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wal 1481 wcel 1990 cab 2608 wral 2912 crab 2916 wss 3574 cint 4475 |
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-ral 2917 df-rab 2921 df-v 3202 df-in 3581 df-ss 3588 df-int 4476 |
This theorem is referenced by: knatar 6607 harval2 8823 pwfseqlem3 9482 ldgenpisyslem3 30228 topjoin 32360 |
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