Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > simp2d | Unicode version |
Description: Deduce a conjunct from a triple conjunction. (Contributed by NM, 4-Sep-2005.) |
Ref | Expression |
---|---|
3simp1d.1 |
Ref | Expression |
---|---|
simp2d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simp1d.1 | . 2 | |
2 | simp2 905 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 w3a 885 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 |
This theorem depends on definitions: df-bi 110 df-3an 887 |
This theorem is referenced by: simp2bi 920 erinxp 6180 addcanprleml 6712 addcanprlemu 6713 ltmprr 6740 lelttrdi 7421 ixxdisj 8772 ixxss1 8773 ixxss2 8774 ixxss12 8775 iccgelb 8801 iccss2 8813 icodisj 8860 flqdiv 9163 immul 9479 |
Copyright terms: Public domain | W3C validator |