simsari - brismu bridi

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

Theorem simsari 287

Description: Reverse inference form of df-simsa 283 (Contributed by la korvo, 6-Aug-2023.)

**Hypothesis**
Ref	Expression
simsari.0	⊢ ko'a .e ko'e ckaji ko'i

**Assertion**
Ref	Expression
simsari	⊢ ko'a simsa ko'e ko'i

**Proof of Theorem simsari**
Step	Hyp	Ref	Expression
1		simsari.0	. 2 ⊢ ko'a .e ko'e ckaji ko'i
2		df-simsa 283	. 2 ⊢ go ko'a simsa ko'e ko'i gi ko'a .e ko'e ckaji ko'i
3	1, 2	bi-rev 70	1 ⊢ ko'a simsa ko'e ko'i

Colors of variables: sumti selbri bridi

Syntax hints: .e sje 114 ckaji sbckaji 268 simsa sbsimsa 281

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-simsa 283

This theorem is referenced by: simsarii 288