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Mirrors > Home > MPE Home > Th. List > Mathboxes > bnj591 | Structured version Visualization version Unicode version |
Description: Technical lemma for bnj852 30991. This lemma may no longer be used or have become an indirect lemma of the theorem in question (i.e. a lemma of a lemma... of the theorem). (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bnj591.1 |
Ref | Expression |
---|---|
bnj591 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj591.1 | . . 3 | |
2 | 1 | sbcbii 3491 | . 2 |
3 | vex 3203 | . . 3 | |
4 | fveq2 6191 | . . . . 5 | |
5 | fveq2 6191 | . . . . 5 | |
6 | 4, 5 | eqeq12d 2637 | . . . 4 |
7 | 6 | imbi2d 330 | . . 3 |
8 | 3, 7 | sbcie 3470 | . 2 |
9 | 2, 8 | bitri 264 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 w3a 1037 wceq 1483 wcel 1990 wsbc 3435 cfv 5888 |
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-3an 1039 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-rab 2921 df-v 3202 df-sbc 3436 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-uni 4437 df-br 4654 df-iota 5851 df-fv 5896 |
This theorem is referenced by: bnj580 30983 |
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