ga-rid - brismu bridi

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Theorem ga-rid 151

Description: Deduction form of ga-ri 149 (Contributed by la korvo, 4-Jan-2025.)

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

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

**Proof of Theorem ga-rid**
Step	Hyp	Ref	Expression
1		ga-id.0	. 2 ⊢ ganai broda gi brode
2		ga-rin 143	. 2 ⊢ ganai brode gi ga brodi gi brode
3	1, 2	syl 20	1 ⊢ ganai broda gi ga brodi gi brode

Colors of variables: sumti selbri bridi

Syntax hints: ga bga 137

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 43 ax-ge-re 44

This theorem depends on definitions: df-go 61 df-ga 138

This theorem is referenced by: (None)