ga-pairr - brismu bridi

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Theorem ga-pairr 181

Description: ga-pair 179 with the arrow on the right. (Contributed by la korvo, 14-Jul-2025.)

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

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

**Proof of Theorem ga-pairr**
Step	Hyp	Ref	Expression
1		id 19	. 2 ⊢ ganai brodi gi brodi
2		ga-pairx.0	. 2 ⊢ ganai broda gi brode
3	1, 2	ga-pair 179	1 ⊢ ganai ga brodi gi broda gi ga 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 depends on definitions: df-go 83 df-ga 161

This theorem is referenced by: ga-dist-ge 182