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Mirrors > Home > MPE Home > Th. List > Mathboxes > ee233 | Structured version Visualization version Unicode version |
Description: Non-virtual deduction form of e233 38992. (Contributed by Alan Sare,
18-Mar-2012.)
(Proof modification is discouraged.) (New usage is discouraged.)
The following User's Proof is a Virtual Deduction proof completed
automatically by the tools program completeusersproof.cmd, which invokes
Mel L. O'Cat's mmj2 and Norm Megill's Metamath Proof Assistant. The
completed Virtual
Deduction Proof (not shown) was minimized. The minimized proof is
shown.
|
Ref | Expression |
---|---|
ee233.1 | |
ee233.2 | |
ee233.3 | |
ee233.4 |
Ref | Expression |
---|---|
ee233 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ee233.3 | . . . . 5 | |
2 | ee233.2 | . . . . . . . . 9 | |
3 | ee233.1 | . . . . . . . . . . 11 | |
4 | ee233.4 | . . . . . . . . . . 11 | |
5 | 3, 4 | syl6 35 | . . . . . . . . . 10 |
6 | 5 | com3r 87 | . . . . . . . . 9 |
7 | 2, 6 | syl8 76 | . . . . . . . 8 |
8 | pm2.43cbi 38724 | . . . . . . . 8 | |
9 | 7, 8 | mpbi 220 | . . . . . . 7 |
10 | pm2.43cbi 38724 | . . . . . . 7 | |
11 | 9, 10 | mpbi 220 | . . . . . 6 |
12 | 11 | com14 96 | . . . . 5 |
13 | 1, 12 | syl8 76 | . . . 4 |
14 | pm2.43cbi 38724 | . . . 4 | |
15 | 13, 14 | mpbi 220 | . . 3 |
16 | pm2.43cbi 38724 | . . 3 | |
17 | 15, 16 | mpbi 220 | . 2 |
18 | pm2.43cbi 38724 | . 2 | |
19 | 17, 18 | mpbi 220 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 |
This theorem is referenced by: truniALT 38751 onfrALTlem2 38761 e233 38992 |
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