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Mirrors > Home > ILE Home > Th. List > 3adant1r | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 8-Jan-2006.) |
Ref | Expression |
---|---|
3adant1l.1 |
Ref | Expression |
---|---|
3adant1r |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3adant1l.1 | . . . 4 | |
2 | 1 | 3expb 1105 | . . 3 |
3 | 2 | adantlr 446 | . 2 |
4 | 3 | 3impb 1100 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 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: 3adant2r 1130 3adant3r 1132 mulassnqg 6482 prarloc 6601 prmuloc 6664 addasssrg 6841 axaddass 6946 |
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