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Mirrors > Home > ILE Home > Th. List > 3jaodan | Unicode version |
Description: Disjunction of 3 antecedents (deduction). (Contributed by NM, 14-Oct-2005.) |
Ref | Expression |
---|---|
3jaodan.1 | |
3jaodan.2 | |
3jaodan.3 |
Ref | Expression |
---|---|
3jaodan |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3jaodan.1 | . . . 4 | |
2 | 1 | ex 113 | . . 3 |
3 | 3jaodan.2 | . . . 4 | |
4 | 3 | ex 113 | . . 3 |
5 | 3jaodan.3 | . . . 4 | |
6 | 5 | ex 113 | . . 3 |
7 | 2, 4, 6 | 3jaod 1235 | . 2 |
8 | 7 | imp 122 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 w3o 918 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 |
This theorem depends on definitions: df-bi 115 df-3or 920 df-3an 921 |
This theorem is referenced by: zeo 8452 xrltnsym 8868 xrlttr 8870 xrltso 8871 xrlttri3 8872 xltnegi 8902 qbtwnxr 9266 |
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