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Mirrors > Home > ILE Home > Th. List > 3adant3l | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 8-Jan-2006.) |
Ref | Expression |
---|---|
3adant1l.1 |
Ref | Expression |
---|---|
3adant3l |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3adant1l.1 | . . . 4 | |
2 | 1 | 3com13 1143 | . . 3 |
3 | 2 | 3adant1l 1161 | . 2 |
4 | 3 | 3com13 1143 | 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: addassnqg 6572 mulassnqg 6574 prarloc 6693 prmuloc 6756 addasssrg 6933 axaddass 7038 |
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