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Theorem syldd 38
Description: Deduction form of syld (future) (Contributed by la korvo, 1-Jan-2025.)
Hypotheses
Ref Expression
syldd.1ganai broda gi ganai brode gi ganai brodi gi brodo
syldd.2ganai broda gi ganai brode gi ganai brodo gi brodu
Assertion
Ref Expression
sylddganai broda gi ganai brode gi ganai brodi gi brodu

Proof of Theorem syldd
StepHypRef Expression
1 syldd.2 . 2ganai broda gi ganai brode gi ganai brodo gi brodu
2 syldd.1 . 2ganai broda gi ganai brode gi ganai brodi gi brodo
3 imim2 37 . 2ganai ganai brodo gi brodu gi ganai ganai brodi gi brodo gi ganai brodi gi brodu
41, 2, 3syl6c 25 1ganai broda gi ganai brode gi ganai brodi gi brodu
Colors of variables: sumti selbri bridi
Syntax hints:  ganai bgan 9
This theorem was proved from axioms:  ax-mp 10  ax-k 11  ax-s 15
This theorem is referenced by:  syl5d  39
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