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Theorem ge-lei 37

Description: Inference form of ax-ge-le 34 (Contributed by la korvo, 27-Jul-2023.)

Hypothesis

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

Assertion

Ref	Expression
ge-lei	⊢ broda

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Proof of Theorem ge-lei

Step	Hyp	Ref	Expression
1		ge-lei.0	. 2 ⊢ ge broda gi brode
2		ax-ge-le 34	. 2 ⊢ ganai ge broda gi brode gi broda
3	1, 2	ax-mp 10	1 ⊢ broda

Colors of variables: sumti selbri bridi

Syntax hints:  ge bge 33

This theorem was proved from axioms:  ax-mp 10  ax-ge-le 34

This theorem is referenced by:  goli  53  go-ganai  54  bi1  57  bi2  58  ga-lin  132  gonaiil  227  simsail  285  muplili  314  fahuil  429

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