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Theorem ge-rei 48

Description: Inference form of ax-ge-re 44 (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 44	. 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 42

This theorem was proved from axioms:  ax-mp 10  ax-ge-re 44

This theorem is referenced by:  gori  64  bi3  68  ga-rin  143  gonaiir  264  simsair  323  mupliiri  352  fahuir  472  sezni-elt  510

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