ge-pairr - brismu bridi

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Theorem ge-pairr 81

Description: ge-pair 79 with only one implication, on the right. (Contributed by la korvo, 9-Jul-2025.)

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

**Assertion**
Ref	Expression
ge-pairr	⊢ ganai ge brodi gi broda gi ge brodi gi brode

**Proof of Theorem ge-pairr**
Step	Hyp	Ref	Expression
1		id 19	. 2 ⊢ ganai brodi gi brodi
2		ge-pairx.0	. 2 ⊢ ganai broda gi brode
3	1, 2	ge-pair 79	1 ⊢ ganai ge brodi gi broda gi ge brodi gi brode

Colors of variables: sumti selbri bridi

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 48 ax-ge-re 49 ax-ge-in 50

This theorem is referenced by: ge-dist-ga 174 foml19.41 432