simsail - brismu bridi

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

Theorem simsail 322

Description: Inference form of df-simsa 320 (Contributed by la korvo, 6-Aug-2023.)

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

**Assertion**
Ref	Expression
simsail	⊢ ko'a ckaji ko'i

**Proof of Theorem simsail**
Step	Hyp	Ref	Expression
1		simsail.0	. . . 4 ⊢ ko'a simsa ko'e ko'i
2	1	simsai 321	. . 3 ⊢ ko'a .e ko'e ckaji ko'i
3	2	ei 126	. 2 ⊢ ge ko'a ckaji ko'i gi ko'e ckaji ko'i
4	3	ge-lei 46	1 ⊢ ko'a ckaji ko'i

Colors of variables: sumti selbri bridi

Syntax hints: tsb 1 tss 2 ckaji sbckaji 305

This theorem was proved from axioms: ax-mp 10 ax-ge-le 43

This theorem depends on definitions: df-go 61 df-e 125 df-simsa 320

This theorem is referenced by: (None)