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Mirrors > Home > ILE Home > Th. List > 3ancoma | Unicode version |
Description: Commutation law for triple conjunction. (Contributed by NM, 21-Apr-1994.) |
Ref | Expression |
---|---|
3ancoma |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ancom 264 | . . 3 | |
2 | 1 | anbi1i 453 | . 2 |
3 | df-3an 964 | . 2 | |
4 | df-3an 964 | . 2 | |
5 | 2, 3, 4 | 3bitr4i 211 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 w3a 962 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 964 |
This theorem is referenced by: 3ancomb 970 3anrev 972 3anan12 974 3com12 1185 elfzmlbp 9909 elfzo2 9927 |
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