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Mirrors > Home > Home > Th. List > ge-com-lem |
Description: Lemma for ge-com 110 showing that {ge} is commutative in one direction. (Contributed by la korvo, 31-Jul-2023.) |
Ref | Expression |
---|---|
ge-com-lem | ⊢ ganai ge broda gi brode gi ge brode gi broda |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ge-in-swap12 43 | . 2 ⊢ ganai broda gi ganai brode gi ge brode gi broda | |
2 | 1 | cur 44 | 1 ⊢ ganai ge broda gi brode gi ge brode gi broda |
Colors of variables: sumti selbri bridi |
Syntax hints: ge bge 33 |
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 is referenced by: ge-com 110 ge-go 111 |
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