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Mirrors > Home > ILE Home > Th. List > 3anan32 | Unicode version |
Description: Convert triple conjunction to conjunction, then commute. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) |
Ref | Expression |
---|---|
3anan32 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3an 887 | . 2 | |
2 | an32 496 | . 2 | |
3 | 1, 2 | bitri 173 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wb 98 w3a 885 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 df-3an 887 |
This theorem is referenced by: anandi3r 899 dff1o3 5132 |
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