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Mirrors > Home > ILE Home > Th. List > mp2ani | Unicode version |
Description: An inference based on modus ponens. (Contributed by NM, 12-Dec-2004.) |
Ref | Expression |
---|---|
mp2ani.1 | |
mp2ani.2 | |
mp2ani.3 |
Ref | Expression |
---|---|
mp2ani |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mp2ani.2 | . 2 | |
2 | mp2ani.1 | . . 3 | |
3 | mp2ani.3 | . . 3 | |
4 | 2, 3 | mpani 406 | . 2 |
5 | 1, 4 | mpi 15 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: th3q 6211 addnnnq0 6547 mulnnnq0 6548 addsrpr 6830 mulsrpr 6831 |
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