efqi - brismu bridi

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

Theorem efqi 285

Description: Inference form of ax-efq 284 (Contributed by la korvo, 25-Jun-2024.)

**Hypothesis**
Ref	Expression
efqi.0	⊢ naku broda

**Assertion**
Ref	Expression
efqi	⊢ ganai broda gi brode

**Proof of Theorem efqi**
Step	Hyp	Ref	Expression
1		efqi.0	. 2 ⊢ naku broda
2		ax-efq 284	. 2 ⊢ ganai naku broda gi ganai broda gi brode
3	1, 2	ax-mp 10	1 ⊢ ganai broda gi brode

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 naku bnk 272

This theorem was proved from axioms: ax-mp 10 ax-efq 284

This theorem is referenced by: efqii 287 gaiho-init 288 nfnth 442