brismu bridi		< Previous   Next > Nearby theorems
Mirrors  >  Home  >   Home  >  Th. List  >  ge-rei

---

Theorem ge-rei 53

Description: Inference form of ax-ge-re 49 (Contributed by la korvo, 27-Jul-2023.)

Hypothesis

Ref	Expression
ge-rei.0	⊢ ge broda gi brode

Assertion

Ref	Expression
ge-rei	⊢ brode

---

Proof of Theorem ge-rei

Step	Hyp	Ref	Expression
1		ge-rei.0	. 2 ⊢ ge broda gi brode
2		ax-ge-re 49	. 2 ⊢ ganai ge broda gi brode gi brode
3	1, 2	ax-mp 10	1 ⊢ brode

Colors of variables: sumti selbri bridi

Syntax hints:   ge bge 47

This theorem was proved from axioms:  ax-mp 10  ax-ge-re 49

This theorem is referenced by:  gori  86  bi3  90  ga-rin  166  gonaiir  301  simsair  360  mupliiri  389  fahuir  526  sezni-elt  571

Copyright terms: Public domain

W3C validator