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Theorem mpc 29
Description: A closed version of ax-mp 10 (Contributed by la korvo, 1-Jan-2025.)
Assertion
Ref Expression
mpcganai broda gi ganai ganai broda gi brode gi brode

Proof of Theorem mpc
StepHypRef Expression
1 id 18 . 2ganai ganai broda gi brode gi ganai broda gi brode
21ganai-swap12 28 1ganai broda gi ganai ganai broda gi brode gi brode
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:  ganai-swap23  41
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