ge-in-swap12 - brismu bridi

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Theorem ge-in-swap12 52

Description: ax-ge-in 45 with swapped antecedents. (Contributed by la korvo, 31-Jul-2023.)

**Assertion**
Ref	Expression
ge-in-swap12	⊢ ganai broda gi ganai brode gi ge brode gi broda

**Proof of Theorem ge-in-swap12**
Step	Hyp	Ref	Expression
1		ax-ge-in 45	. 2 ⊢ ganai brode gi ganai broda gi ge brode gi broda
2	1	ganai-swap12 28	1 ⊢ ganai broda gi ganai brode gi ge brode gi broda

Colors of variables: sumti selbri bridi

Syntax hints: ge bge 42

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-in 45

This theorem is referenced by: ge-com-lem 119