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Mirrors > Home > ILE Home > Th. List > mtbii | Unicode version |
Description: An inference from a biconditional, similar to modus tollens. (Contributed by NM, 27-Nov-1995.) |
Ref | Expression |
---|---|
mtbii.min | |
mtbii.maj |
Ref | Expression |
---|---|
mtbii |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mtbii.min | . 2 | |
2 | mtbii.maj | . . 3 | |
3 | 2 | biimprd 156 | . 2 |
4 | 1, 3 | mtoi 622 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 103 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 576 ax-in2 577 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: onsucelsucexmid 4273 nntri2 6096 nntri3 6098 nndceq 6100 genpdisj 6713 ltposr 6940 |
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