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Mirrors > Home > ILE Home > Th. List > simp1r | Unicode version |
Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.) |
Ref | Expression |
---|---|
simp1r |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr 108 | . 2 | |
2 | 1 | 3ad2ant1 959 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 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: simpl1r 990 simpr1r 996 simp11r 1050 simp21r 1056 simp31r 1062 vtoclgft 2649 en2lp 4297 funprg 4969 nnsucsssuc 6094 ecopovtrn 6226 ecopovtrng 6229 addassnqg 6572 distrnqg 6577 ltsonq 6588 ltanqg 6590 ltmnqg 6591 distrnq0 6649 addassnq0 6652 prarloclem5 6690 recexprlem1ssl 6823 recexprlem1ssu 6824 mulasssrg 6935 distrsrg 6936 lttrsr 6939 ltsosr 6941 ltasrg 6947 mulextsr1lem 6956 mulextsr1 6957 axmulass 7039 axdistr 7040 dmdcanap 7810 lt2msq1 7963 lediv2 7969 modqdi 9394 expaddzaplem 9519 expaddzap 9520 expmulzap 9522 prmexpb 10530 |
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