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Mirrors > Home > MPE Home > Th. List > intn3an2d | Structured version Visualization version Unicode version |
Description: Introduction of a triple conjunct inside a contradiction. (Contributed by FL, 27-Dec-2007.) (Proof shortened by Andrew Salmon, 26-Jun-2011.) |
Ref | Expression |
---|---|
intn3and.1 |
Ref | Expression |
---|---|
intn3an2d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | intn3and.1 | . 2 | |
2 | simp2 1062 | . 2 | |
3 | 1, 2 | nsyl 135 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 w3a 1037 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 df-an 386 df-3an 1039 |
This theorem is referenced by: iooelexlt 33210 lenelioc 39763 icccncfext 40100 fourierdlem10 40334 fourierdlem104 40427 cznnring 41956 |
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