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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-dfifc2 | Structured version Visualization version Unicode version |
Description: This should be the alternate definition of "ifc" if "if-" enters the main part. (Contributed by BJ, 20-Sep-2019.) |
Ref | Expression |
---|---|
bj-dfifc2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-if 4087 | . 2 | |
2 | ancom 466 | . . . . 5 | |
3 | ancom 466 | . . . . 5 | |
4 | 2, 3 | orbi12i 543 | . . . 4 |
5 | 4 | bicomi 214 | . . 3 |
6 | 5 | abbii 2739 | . 2 |
7 | 1, 6 | eqtri 2644 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wo 383 wa 384 wceq 1483 wcel 1990 cab 2608 cif 4086 |
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-if 4087 |
This theorem is referenced by: bj-df-ifc 32565 |
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