ki - brismu bridi

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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: mpki 13 kii 14 idd 19 syl 20 syl6 24 mpi 34 syl9 40 mpan 58 isod-lem 71 k-ceihi 234 nsyl3 254 hbth 401 poi-gen 417