nibliii - brismu bridi

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Theorem nibliii 514

Description: Inference form of df-nibli 512 (Contributed by la korvo, 19-Jul-2024.)

**Hypotheses**
Ref	Expression
nibliii.0	⊢ pa du'u broda ku nibli pa du'u brode ku
nibliii.1	⊢ broda

**Assertion**
Ref	Expression
nibliii	⊢ brode

**Proof of Theorem nibliii**
Step	Hyp	Ref	Expression
1		nibliii.1	. 2 ⊢ broda
2		nibliii.0	. . 3 ⊢ pa du'u broda ku nibli pa du'u brode ku
3	2	niblii 513	. 2 ⊢ ganai broda gi brode
4	1, 3	ax-mp 10	1 ⊢ brode

Colors of variables: sumti selbri bridi

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

This theorem depends on definitions: df-go 83 df-nibli 512

This theorem is referenced by: (None)