gripauiis - brismu bridi

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

Theorem gripauiis 262

Description: Inference form of df-gripau 258 (Contributed by la korvo, 15-Jul-2024.)

**Hypotheses**
Ref	Expression
gripauiis.0	⊢ ko'a gripau ko'e
gripauiis.1	⊢ ko'i cmima ko'a

**Assertion**
Ref	Expression
gripauiis	⊢ ko'i cmima ko'e

**Proof of Theorem gripauiis**
Step	Hyp	Ref	Expression
1		gripauiis.1	. 2 ⊢ ko'i cmima ko'a
2		gripauiis.0	. . 3 ⊢ ko'a gripau ko'e
3	2	gripauis 261	. 2 ⊢ ganai ko'i cmima ko'a gi ko'i cmima ko'e
4	1, 3	ax-mp 10	1 ⊢ ko'i cmima ko'e

Colors of variables: sumti selbri bridi

Syntax hints: cmima sbcmima 246

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-na.a 78 df-se 168 df-gripau 258

This theorem is referenced by: (None)