gripauiis - brismu bridi

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Theorem gripauiis 299

Description: Inference form of df-gripau 295 (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 298	. 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 282

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 43 ax-ge-re 44 ax-ge-in 45

This theorem depends on definitions: df-go 61 df-na.a 88 df-se 182 df-gripau 295

This theorem is referenced by: (None)