nibliri - brismu bridi

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Theorem nibliri 509

Description: Reverse inference form of df-nibli 506 (Contributed by la korvo, 19-Jul-2024.)

**Hypothesis**
Ref	Expression
nibliri.0	⊢ ganai broda gi brode

**Assertion**
Ref	Expression
nibliri	⊢ pa du'u broda kei nibli pa du'u brode kei

**Proof of Theorem nibliri**
Step	Hyp	Ref	Expression
1		nibliri.0	. 2 ⊢ ganai broda gi brode
2		df-nibli 506	. 2 ⊢ go pa du'u broda kei nibli pa du'u brode kei gi ganai broda gi brode
3	1, 2	bi-rev 102	1 ⊢ pa du'u broda kei nibli pa du'u brode kei

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 pa sdu 489 nibli sbnibli 505

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-nibli 506

This theorem is referenced by: nibli-refl 510