gari - brismu bridi

	brismu bridi		< Previous Next > Nearby theorems
Mirrors > Home > Home > Th. List > gari

Theorem gari 131

Description: Reverse inference form of df-ga 128 (Contributed by la korvo, 28-Jul-2023.)

**Hypothesis**
Ref	Expression
gari.0	⊢ ge ganai brode gi broda gi ganai brodi gi broda

**Assertion**
Ref	Expression
gari	⊢ ganai ga brode gi brodi gi broda

**Proof of Theorem gari**
Step	Hyp	Ref	Expression
1		gari.0	. 2 ⊢ ge ganai brode gi broda gi ganai brodi gi broda
2		df-ga 128	. 2 ⊢ go ganai ga brode gi brodi gi broda gi ge ganai brode gi broda gi ganai brodi gi broda
3	1, 2	bi-rev 70	1 ⊢ ganai ga brode gi brodi gi broda

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 ge bge 33 ga bga 127

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 14 ax-ge-le 34 ax-ge-re 35 ax-ge-in 36

This theorem depends on definitions: df-go 52 df-ga 128

This theorem is referenced by: (None)