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Mirrors > Home > ILE Home > Th. List > 3anan12 | Unicode version |
Description: Convert triple conjunction to conjunction, then commute. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (Proof shortened by Andrew Salmon, 14-Jun-2011.) |
Ref | Expression |
---|---|
3anan12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3ancoma 926 | . 2 | |
2 | 3anass 923 | . 2 | |
3 | 1, 2 | bitri 182 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 102 wb 103 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: fncnv 4985 dff1o2 5151 |
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