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Mirrors > Home > ILE Home > Th. List > mt2bi | Unicode version |
Description: A false consequent falsifies an antecedent. (Contributed by NM, 19-Aug-1993.) (Proof shortened by Wolf Lammen, 12-Nov-2012.) |
Ref | Expression |
---|---|
mt2bi.1 |
Ref | Expression |
---|---|
mt2bi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mt2bi.1 | . . 3 | |
2 | 1 | a1bi 242 | . 2 |
3 | con2b 664 | . 2 | |
4 | 2, 3 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 104 |
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 609 ax-in2 610 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: (None) |
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