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Theorem naai 111

Description: Inference form of df-na.a 110 (Contributed by la korvo, 17-Aug-2023.)

**Hypothesis**
Ref	Expression
naai.0	⊢ ko'a na.a ko'e bo'a

**Assertion**
Ref	Expression
naai	⊢ ganai ko'a bo'a gi ko'e bo'a

**Proof of Theorem naai**
Step	Hyp	Ref	Expression
1		naai.0	. 2 ⊢ ko'a na.a ko'e bo'a
2		df-na.a 110	. 2 ⊢ go ko'a na.a ko'e bo'a gi ganai ko'a bo'a gi ko'e bo'a
3	1, 2	bi 101	1 ⊢ ganai ko'a bo'a gi ko'e bo'a

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ganai bgan 9 na.a sjnaa 109

This theorem was proved from axioms: ax-mp 10 ax-ge-le 48

This theorem depends on definitions: df-go 83 df-na.a 110

This theorem is referenced by: naaii 112 gripauis 335