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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 |
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mtbii.maj |
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Ref | Expression |
---|---|
mtbii |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mtbii.min |
. 2
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2 | mtbii.maj |
. . 3
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3 | 2 | biimprd 157 |
. 2
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4 | 1, 3 | mtoi 654 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 604 ax-in2 605 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: onsucelsucexmid 4453 nntri2 6398 nntri3 6401 nndceq 6403 inffiexmid 6808 genpdisj 7355 ltposr 7595 hashennn 10558 fsumsplit 11208 sumsplitdc 11233 |
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