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Mirrors > Home > MPE Home > Th. List > ad5ant25 | Structured version Visualization version Unicode version |
Description: Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017.) |
Ref | Expression |
---|---|
ad5ant25.1 |
Ref | Expression |
---|---|
ad5ant25 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ad5ant25.1 | . . . . . . . . . 10 | |
2 | 1 | ex 450 | . . . . . . . . 9 |
3 | 2 | 2a1dd 51 | . . . . . . . 8 |
4 | 3 | a1ddd 80 | . . . . . . 7 |
5 | 4 | com45 97 | . . . . . 6 |
6 | 5 | com3r 87 | . . . . 5 |
7 | 6 | com34 91 | . . . 4 |
8 | 7 | com45 97 | . . 3 |
9 | 8 | imp 445 | . 2 |
10 | 9 | imp41 619 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 |
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 |
This theorem is referenced by: matunitlindflem1 33405 nnfoctbdjlem 40672 hoidmvlelem5 40813 |
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