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Mirrors > Home > ILE Home > Th. List > bianfi | Unicode version |
Description: A wff conjoined with falsehood is false. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 26-Nov-2012.) |
Ref | Expression |
---|---|
bianfi.1 |
Ref | Expression |
---|---|
bianfi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bianfi.1 | . 2 | |
2 | 1 | intnan 837 | . 2 |
3 | 1, 2 | 2false 616 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wa 97 wb 98 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: in0 3246 opthprc 4334 |
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