poi-pari - brismu bridi

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Theorem poi-pari 558

Description: Reverse inference form of df-poi-pa 556 (Contributed by la korvo, 15-Oct-2024.)

**Hypothesis**
Ref	Expression
poi-pari.0	⊢ pa da zo'u ganai da bo'a gi broda

**Assertion**
Ref	Expression
poi-pari	⊢ pa da poi ke'a bo'a ku'o zo'u broda

**Proof of Theorem poi-pari**
Step	Hyp	Ref	Expression
1		poi-pari.0	. 2 ⊢ pa da zo'u ganai da bo'a gi broda
2		df-poi-pa 556	. 2 ⊢ go pa da poi ke'a bo'a ku'o zo'u broda gi pa da zo'u ganai da bo'a gi broda
3	1, 2	bi-rev 102	1 ⊢ pa da poi ke'a bo'a ku'o zo'u broda

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ganai bgan 9 pa bpd 551 pa bpdp 555

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 48 ax-ge-re 49 ax-ge-in 50

This theorem depends on definitions: df-go 83 df-poi-pa 556

This theorem is referenced by: (None)