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Mirrors > Home > QLE Home > Th. List > ml2i | Unicode version |
Description: Inference version of modular law. |
Ref | Expression |
---|---|
mli.1 |
Ref | Expression |
---|---|
ml2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ml 1121 | . 2 | |
2 | mli.1 | . . . . 5 | |
3 | 2 | df-le2 131 | . . . 4 |
4 | 3 | lan 77 | . . 3 |
5 | 4 | lor 70 | . 2 |
6 | 3 | lan 77 | . 2 |
7 | 1, 5, 6 | 3tr2 64 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wle 2 wo 6 wa 7 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a3 32 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 ax-ml 1120 |
This theorem depends on definitions: df-a 40 df-t 41 df-f 42 df-le1 130 df-le2 131 |
This theorem is referenced by: mli 1124 l42modlem1 1147 dp53lemb 1162 dp35lemb 1174 dp41lemd 1184 dp32 1194 xdp41 1196 xdp53 1198 xxdp41 1199 xxdp53 1201 xdp45lem 1202 xdp43lem 1203 xdp45 1204 xdp43 1205 3dp43 1206 |
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