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Theorem ge-rei 39

Description: Inference form of ax-ge-re 35 (Contributed by la korvo, 27-Jul-2023.)

Hypothesis

Ref	Expression
ge-rei.0	⊢ ge broda gi brode

Assertion

Ref	Expression
ge-rei	⊢ brode

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Proof of Theorem ge-rei

Step	Hyp	Ref	Expression
1		ge-rei.0	. 2 ⊢ ge broda gi brode
2		ax-ge-re 35	. 2 ⊢ ganai ge broda gi brode gi brode
3	1, 2	ax-mp 10	1 ⊢ brode

Colors of variables: sumti selbri bridi

Syntax hints:  ge bge 33

This theorem was proved from axioms:  ax-mp 10  ax-ge-re 35

This theorem is referenced by:  gori  55  bi3  59  ga-rin  133  gonaiir  228  simsair  286  mupliiri  315  fahuir  430  sezni-elt  468

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