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Related theorems GIF version |
| Description: Identity law. |
| Ref | Expression |
|---|---|
| id | a = a |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-a1 30 | . 2 a = a⊥ ⊥ | |
| 2 | 1 | ax-r1 35 | . 2 a⊥ ⊥ = a |
| 3 | 1, 2 | ax-r2 36 | 1 a = a |
| Colors of variables: term |
| Syntax hints: = wb 1 ⊥ wn 4 |
| This theorem is referenced by: leid 148 str 189 mccune2 247 wql2lem4 291 nom10 307 ska2 432 woml7 437 u4lemana 608 u5lembi 725 u4lem1 737 u1lem3 749 u4lem6 768 u24lem 770 u12lem 771 u3lem11 786 u3lem13b 790 u3lem14a 791 mlaoml 833 mlaconj 845 neg3antlem2 865 mhlem 876 cancellem 891 gomaex3lem3 916 gomaex3 924 oa3to4lem6 950 oa4to6 965 oa3-2to2s 990 d3oa 995 d4oa 996 d6oa 997 mloa 1018 oa43v 1028 oa64v 1030 oa63v 1031 axoa4 1033 oa6 1035 axoa4a 1036 4oa 1038 |
| This theorem was proved from axioms: ax-a1 30 ax-r1 35 ax-r2 36 |