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

---

Theorem ki 12

Description: Inference form of ax-k 11 (Contributed by la korvo, 27-Jul-2023.)

Hypothesis

Ref	Expression
ki.0	⊢ broda

Assertion

Ref	Expression
ki	⊢ ganai brode gi broda

---

Proof of Theorem ki

Step	Hyp	Ref	Expression
1		ki.0	. 2 ⊢ broda
2		ax-k 11	. 2 ⊢ ganai broda gi ganai brode gi broda
3	1, 2	ax-mp 10	1 ⊢ ganai brode gi broda

Colors of variables: sumti selbri bridi

Syntax hints:  ganai bgan 9

This theorem was proved from axioms:  ax-mp 10  ax-k 11

This theorem is referenced by:  kii  13  syl  18  syl6  22  mpi  31  mpan  49  isod-lem  61  hbth  362  poi-gen  375

Copyright terms: Public domain

W3C validator