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Mirrors > Home > ILE Home > Th. List > 3anass | Unicode version |
Description: Associative law for triple conjunction. (Contributed by NM, 8-Apr-1994.) |
Ref | Expression |
---|---|
3anass |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3an 887 | . 2 | |
2 | anass 381 | . 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: 3anrot 890 3anan12 897 anandi3 898 3exdistr 1792 r3al 2366 ceqsex2 2594 ceqsex3v 2596 ceqsex4v 2597 ceqsex6v 2598 ceqsex8v 2599 trel3 3862 sowlin 4057 dff1o4 5134 mpt2xopovel 5856 dfsmo2 5902 ecopovtrn 6203 ecopovtrng 6206 distrnqg 6485 recmulnqg 6489 ltexnqq 6506 enq0tr 6532 distrnq0 6557 genpdflem 6605 distrlem1prl 6680 distrlem1pru 6681 divmuldivap 7688 prime 8337 eluz2 8479 raluz2 8522 elixx1 8766 elixx3g 8770 elioo2 8790 elioo5 8802 elicc4 8809 iccneg 8857 icoshft 8858 elfz1 8879 elfz 8880 elfz2 8881 elfzm11 8953 elfz2nn0 8973 elfzo2 9007 elfzo3 9019 lbfzo0 9037 fzind2 9095 redivap 9474 imdivap 9481 findset 10070 |
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