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| Mirrors > Home > Home > Th. List > ganai-abs | |||
| Description: Absorb a redundant antecedent. (Contributed by la korvo, 30-Jul-2023.) |
| Ref | Expression |
|---|---|
| ganai-abs.0 | ⊢ ganai broda gi ganai broda gi brode |
| Ref | Expression |
|---|---|
| ganai-abs | ⊢ ganai broda gi brode |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | id 19 | . 2 ⊢ ganai broda gi broda | |
| 2 | ganai-abs.0 | . 2 ⊢ ganai broda gi ganai broda gi brode | |
| 3 | 1, 2 | mpd 18 | 1 ⊢ ganai broda gi brode |
| Colors of variables: sumti selbri bridi |
| This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 |
| This theorem is referenced by: sylc 35 isod 94 ge-diag 144 |
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