simsair - brismu bridi

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Theorem simsair 286

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

**Hypothesis**
Ref	Expression
simsair.0	⊢ ko'a simsa ko'e ko'i

**Assertion**
Ref	Expression
simsair	⊢ ko'e ckaji ko'i

**Proof of Theorem simsair**
Step	Hyp	Ref	Expression
1		simsair.0	. . . 4 ⊢ ko'a simsa ko'e ko'i
2	1	simsai 284	. . 3 ⊢ ko'a .e ko'e ckaji ko'i
3	2	ei 116	. 2 ⊢ ge ko'a ckaji ko'i gi ko'e ckaji ko'i
4	3	ge-rei 39	1 ⊢ ko'e ckaji ko'i

Colors of variables: sumti selbri bridi

Syntax hints: tsb 1 tss 2 ckaji sbckaji 268

This theorem was proved from axioms: ax-mp 10 ax-ge-le 34 ax-ge-re 35

This theorem depends on definitions: df-go 52 df-e 115 df-simsa 283

This theorem is referenced by: (None)