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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-rabeqd | Structured version Visualization version Unicode version |
Description: Deduction form of rabeq 3192. Note that contrary to rabeq 3192 it has no dv condition. (Contributed by BJ, 27-Apr-2019.) |
Ref | Expression |
---|---|
bj-rabeqd.nf | |
bj-rabeqd.1 |
Ref | Expression |
---|---|
bj-rabeqd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-rabeqd.nf | . 2 | |
2 | bj-rabeqd.1 | . . 3 | |
3 | eleq2 2690 | . . . 4 | |
4 | 3 | anbi1d 741 | . . 3 |
5 | 2, 4 | syl 17 | . 2 |
6 | 1, 5 | bj-rabbida2 32913 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wceq 1483 wnf 1708 wcel 1990 crab 2916 |
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-rab 2921 |
This theorem is referenced by: bj-rabeqbid 32917 bj-rabeqbida 32918 bj-inrab2 32924 |
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