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Mirrors > Home > MPE Home > Th. List > Mathboxes > e123 | Structured version Visualization version Unicode version |
Description: A virtual deduction elimination rule. (Contributed by Alan Sare, 12-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
e123.1 | |
e123.2 | |
e123.3 | |
e123.4 |
Ref | Expression |
---|---|
e123 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | e123.1 | . . 3 | |
2 | 1 | vd13 38826 | . 2 |
3 | e123.2 | . . 3 | |
4 | 3 | vd23 38827 | . 2 |
5 | e123.3 | . 2 | |
6 | e123.4 | . 2 | |
7 | 2, 4, 5, 6 | e333 38960 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wvd1 38785 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: suctrALT2VD 39071 |
Copyright terms: Public domain | W3C validator |