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Mirrors > Home > MPE Home > Th. List > intn3an2d | 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 997 | . 2 | |
3 | 1, 2 | nsyl 121 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -. wn 3 -> wi 4
/\ w3a 973 |
This theorem is referenced by: icccncfext 31690 fourierdlem10 31899 fourierdlem104 31993 cznnring 32764 |
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 185 df-an 371 df-3an 975 |
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