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Theorem anaii 117

Description: Inference form of df-anai 116 (Contributed by la korvo, 16-Aug-2023.)

**Hypothesis**
Ref	Expression
anaii.0	⊢ ko'e .anai ko'a bo'a

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

**Proof of Theorem anaii**
Step	Hyp	Ref	Expression
1		anaii.0	. 2 ⊢ ko'e .anai ko'a bo'a
2		df-anai 116	. 2 ⊢ go ko'e .anai ko'a 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 .anai sjanai 115

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

This theorem depends on definitions: df-go 83 df-anai 116

This theorem is referenced by: anaiii 118