seri - brismu bridi

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

Theorem seri 215

Description: From example 11.1-2 of [CLL] p. 5, where {mipramido} and {do se pramimi} are equivalent. Reverse inference form of df-se 213 (Contributed by la korvo, 17-Jul-2023.)

**Hypothesis**
Ref	Expression
seri.0	⊢ ko'a bu'a ko'e

**Assertion**
Ref	Expression
seri	⊢ ko'e se bu'a ko'a

**Proof of Theorem seri**
Step	Hyp	Ref	Expression
1		seri.0	. 2 ⊢ ko'a bu'a ko'e
2		df-se 213	. 2 ⊢ go ko'e se bu'a ko'a gi ko'a bu'a ko'e
3	1, 2	bi-rev 102	1 ⊢ ko'e se bu'a ko'a

Colors of variables: sumti selbri bridi

Syntax hints: se sbs 212

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 48 ax-ge-re 49 ax-ge-in 50

This theorem depends on definitions: df-go 83 df-se 213

This theorem is referenced by: pameiii 329 gripauis 335 ckini-se 352 zihoit 531

W3C validator