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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 58 | . 2 ⊢ ganai go broda gi brode gi ganai brode gi broda | |
2 | bi1 57 | . 2 ⊢ ganai go broda gi brode gi ganai broda gi brode | |
3 | 1, 2 | isod 62 | 1 ⊢ ganai go broda gi brode gi go brode gi broda |
Colors of variables: sumti selbri bridi |
Syntax hints: go bgo 51 |
This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 14 ax-ge-le 34 ax-ge-re 35 ax-ge-in 36 |
This theorem depends on definitions: df-go 52 |
This theorem is referenced by: go-com 65 go-comi 66 |
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