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Mirrors > Home > MPE Home > Th. List > Mathboxes > e223 | Structured version Visualization version Unicode version |
Description: A virtual deduction elimination rule. (Contributed by Alan Sare, 12-Dec-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
e223.1 | |
e223.2 | |
e223.3 | |
e223.4 |
Ref | Expression |
---|---|
e223 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | e223.1 | . . . . 5 | |
2 | 1 | in2 38830 | . . . 4 |
3 | 2 | in1 38787 | . . 3 |
4 | e223.2 | . . . . 5 | |
5 | 4 | in2 38830 | . . . 4 |
6 | 5 | in1 38787 | . . 3 |
7 | e223.3 | . . . . . 6 | |
8 | 7 | in3 38834 | . . . . 5 |
9 | 8 | in2 38830 | . . . 4 |
10 | 9 | in1 38787 | . . 3 |
11 | e223.4 | . . 3 | |
12 | 3, 6, 10, 11 | ee223 38859 | . 2 |
13 | 12 | dfvd3ir 38809 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wvd2 38793 wvd3 38803 |
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 df-an 386 df-3an 1039 df-vd1 38786 df-vd2 38794 df-vd3 38806 |
This theorem is referenced by: tratrbVD 39097 |
Copyright terms: Public domain | W3C validator |