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Mirrors > Home > Home > Th. List > ge-pairl |
Description: ge-pair 79 with only one implication, on the left. (Contributed by la korvo, 9-Jul-2025.) |
Ref | Expression |
---|---|
ge-pairx.0 | ⊢ ganai broda gi brode |
Ref | Expression |
---|---|
ge-pairl | ⊢ ganai ge broda gi brodi gi ge brode gi brodi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ge-pairx.0 | . 2 ⊢ ganai broda gi brode | |
2 | id 19 | . 2 ⊢ ganai brodi gi brodi | |
3 | 1, 2 | ge-pair 79 | 1 ⊢ ganai ge broda gi brodi gi ge brode gi brodi |
Colors of variables: sumti selbri bridi |
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 is referenced by: (None) |
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