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Mirrors > Home > MPE Home > Th. List > Mathboxes > eel0TT | Structured version Visualization version Unicode version |
Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
eel0TT.1 | |
eel0TT.2 | |
eel0TT.3 | |
eel0TT.4 |
Ref | Expression |
---|---|
eel0TT |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eel0TT.3 | . . 3 | |
2 | truan 1501 | . . . 4 | |
3 | eel0TT.2 | . . . . 5 | |
4 | eel0TT.1 | . . . . . 6 | |
5 | eel0TT.4 | . . . . . 6 | |
6 | 4, 5 | mp3an1 1411 | . . . . 5 |
7 | 3, 6 | sylan 488 | . . . 4 |
8 | 2, 7 | sylbir 225 | . . 3 |
9 | 1, 8 | syl 17 | . 2 |
10 | 9 | trud 1493 | 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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