ga-lin - brismu bridi

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Theorem ga-lin 142

Description: Introduce {ga} with the antecedent on the left. (Contributed by la korvo, 31-Jul-2023.)

**Assertion**
Ref	Expression
ga-lin	⊢ ganai broda gi ga broda gi brode

**Proof of Theorem ga-lin**
Step	Hyp	Ref	Expression
1		id 18	. . 3 ⊢ ganai ga broda gi brode gi ga broda gi brode
2		df-ga 138	. . 3 ⊢ go ganai ga broda gi brode gi ga broda gi brode gi ge ganai broda gi ga broda gi brode gi ganai brode gi ga broda gi brode
3	1, 2	bi 79	. 2 ⊢ ge ganai broda gi ga broda gi brode gi ganai brode gi ga broda gi brode
4	3	ge-lei 46	1 ⊢ ganai broda gi ga broda gi brode

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 ge bge 42 ga bga 137

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

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

This theorem is referenced by: ga-idem 145 ga-com-lem 146 ga-li 148 ga-lid 150 ceri-lin 373 zilcmi-nomei 410