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Mirrors > Home > ILE Home > Th. List > 3ioran | Unicode version |
Description: Negated triple disjunction as triple conjunction. (Contributed by Scott Fenton, 19-Apr-2011.) |
Ref | Expression |
---|---|
3ioran |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ioran 726 | . . 3 | |
2 | 1 | anbi1i 453 | . 2 |
3 | ioran 726 | . . 3 | |
4 | df-3or 948 | . . 3 | |
5 | 3, 4 | xchnxbir 655 | . 2 |
6 | df-3an 949 | . 2 | |
7 | 2, 5, 6 | 3bitr4i 211 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wa 103 wb 104 wo 682 w3o 946 w3a 947 |
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 588 ax-in2 589 ax-io 683 |
This theorem depends on definitions: df-bi 116 df-3or 948 df-3an 949 |
This theorem is referenced by: ne3anior 2373 |
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