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Theorem qi1i 186
Description: Inference form of ax-qi1 185 (Contributed by la korvo, 23-Jun-2024.)
Hypothesis
Ref Expression
qi1i.0ro da zo'u ganai broda gi brode
Assertion
Ref Expression
qi1iganai ro da zo'u broda gi ro da zo'u brode

Proof of Theorem qi1i
StepHypRef Expression
1 qi1i.0 . 2ro da zo'u ganai broda gi brode
2 ax-qi1 185 . 2ganai ro da zo'u ganai broda gi brode gi ganai ro da zo'u broda gi ro da zo'u brode
31, 2ax-mp 10 1ganai ro da zo'u broda gi ro da zo'u brode
Colors of variables: sumti selbri bridi
Syntax hints:  ganai bgan 9  ro brd 177
This theorem was proved from axioms:  ax-mp 10  ax-qi1 185
This theorem is referenced by:  qi1-mp  187
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