go-ganaid - brismu bridi

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Theorem go-ganaid 69

Description: Deduction form of go-ganai 63 (Contributed by la korvo, 4-Jan-2025.)

**Hypothesis**
Ref	Expression
go-ganaid.0	⊢ ganai broda gi go brode gi brodi

**Assertion**
Ref	Expression
go-ganaid	⊢ ganai broda gi ganai brode gi brodi

**Proof of Theorem go-ganaid**
Step	Hyp	Ref	Expression
1		go-ganaid.0	. 2 ⊢ ganai broda gi go brode gi brodi
2		bi1 66	. 2 ⊢ ganai go brode gi brodi gi ganai brode gi brodi
3	1, 2	syl 20	1 ⊢ ganai broda gi ganai brode gi brodi

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 go bgo 60

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

This theorem is referenced by: (None)