nibliri - brismu bridi

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Theorem nibliri 455

Description: Reverse inference form of df-nibli 452 (Contributed by la korvo, 19-Jul-2024.)

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

**Assertion**
Ref	Expression
nibliri	⊢ 1 du'u broda kei nibli 1 du'u brode kei

**Proof of Theorem nibliri**
Step	Hyp	Ref	Expression
1		nibliri.0	. 2 ⊢ ganai broda gi brode
2		df-nibli 452	. 2 ⊢ go 1 du'u broda kei nibli 1 du'u brode kei gi ganai broda gi brode
3	1, 2	bi-rev 80	1 ⊢ 1 du'u broda kei nibli 1 du'u brode kei

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 1 sdu 437 nibli sbnibli 451

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 43 ax-ge-re 44 ax-ge-in 45

This theorem depends on definitions: df-go 61 df-nibli 452

This theorem is referenced by: nibli-refl 456