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| Mirrors > Home > Home > Th. List > go-com-lem | |||
| Description: Lemma: {go} commutes in one direction. (Contributed by la korvo, 31-Jul-2023.) |
| Ref | Expression |
|---|---|
| go-com-lem | ⊢ ganai go broda gi brode gi go brode gi broda |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | bi2 89 | . 2 ⊢ ganai go broda gi brode gi ganai brode gi broda | |
| 2 | bi1 88 | . 2 ⊢ ganai go broda gi brode gi ganai broda gi brode | |
| 3 | 1, 2 | isod 94 | 1 ⊢ ganai go broda gi brode gi go brode gi broda |
| Colors of variables: sumti selbri bridi |
| Syntax hints: go bgo 82 |
| This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 48 ax-ge-re 49 ax-ge-in 50 |
| This theorem depends on definitions: df-go 83 |
| This theorem is referenced by: go-com 97 go-comi 98 |
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