ge-red - brismu bridi

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Theorem ge-red 54

Description: Deductive form of ax-ge-re 49 (Contributed by la korvo, 31-Jul-2023.)

**Hypothesis**
Ref	Expression
ge-red.0	⊢ ganai broda gi ge brode gi brodi

**Assertion**
Ref	Expression
ge-red	⊢ ganai broda gi brodi

**Proof of Theorem ge-red**
Step	Hyp	Ref	Expression
1		ge-red.0	. 2 ⊢ ganai broda gi ge brode gi brodi
2		ax-ge-re 49	. 2 ⊢ ganai ge brode gi brodi gi brodi
3	1, 2	syl 21	1 ⊢ ganai broda gi brodi

Colors of variables: sumti selbri bridi

Syntax hints: ge bge 47

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-re 49

This theorem is referenced by: bi2 89 sub1 449 subh 456