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Theorem ge-lei 51

Description: Inference form of ax-ge-le 48 (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 48	. 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 47

This theorem was proved from axioms:  ax-mp 10  ax-ge-le 48

This theorem is referenced by:  goli  84  go-ganai  85  bi1  88  bi2  89  ga-lin  165  gonaiil  300  simsail  359  muplili  388  fahuil  525

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