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Theorem ge-red 40
Description: Deductive form of ax-ge-re 35 (Contributed by la korvo, 31-Jul-2023.)
Hypothesis
Ref Expression
ge-red.0ganai broda gi ge brode gi brodi
Assertion
Ref Expression
ge-redganai broda gi brodi

Proof of Theorem ge-red
StepHypRef Expression
1 ge-red.0 . 2ganai broda gi ge brode gi brodi
2 ax-ge-re 35 . 2ganai ge brode gi brodi gi brodi
31, 2syl 18 1ganai broda gi brodi
Colors of variables: sumti selbri bridi
Syntax hints:  ge bge 33
This theorem was proved from axioms:  ax-mp 10  ax-k 11  ax-s 14  ax-ge-re 35
This theorem is referenced by:  bi2  58  sub1  352
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