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Mirrors > Home > MPE Home > Th. List > Mathboxes > uunTT1p2 | Structured version Visualization version Unicode version |
Description: A deduction unionizing a non-unionized collection of virtual hypotheses. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
uunTT1p2.1 |
Ref | Expression |
---|---|
uunTT1p2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3anrot 1043 | . . . 4 | |
2 | 3anass 1042 | . . . 4 | |
3 | anabs5 851 | . . . 4 | |
4 | 1, 2, 3 | 3bitri 286 | . . 3 |
5 | truan 1501 | . . 3 | |
6 | 4, 5 | bitri 264 | . 2 |
7 | uunTT1p2.1 | . 2 | |
8 | 6, 7 | sylbir 225 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 w3a 1037 wtru 1484 |
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-tru 1486 |
This theorem is referenced by: (None) |
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