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Mirrors > Home > MPE Home > Th. List > Mathboxes > e13an | Structured version Visualization version Unicode version |
Description: A virtual deduction elimination rule. (Contributed by Alan Sare, 24-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
e13an.1 | |
e13an.2 | |
e13an.3 |
Ref | Expression |
---|---|
e13an |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | e13an.1 | . 2 | |
2 | e13an.2 | . 2 | |
3 | e13an.3 | . . 3 | |
4 | 3 | ex 450 | . 2 |
5 | 1, 2, 4 | e13 38975 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 wvd1 38785 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-vd3 38806 |
This theorem is referenced by: (None) |
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