qi1q - brismu bridi

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Theorem qi1q 237

Description: Quantify over both sides of an implication. (Contributed by la korvo, 8-Jul-2025.)

**Hypothesis**
Ref	Expression
qi1q.0	⊢ ganai broda gi brode

**Assertion**
Ref	Expression
qi1q	⊢ ganai ro da zo'u broda gi ro da zo'u brode

**Proof of Theorem qi1q**
Step	Hyp	Ref	Expression
1		ax-qi1 234	. 2 ⊢ ganai ro da zo'u ganai broda gi brode gi ganai ro da zo'u broda gi ro da zo'u brode
2		qi1q.0	. 2 ⊢ ganai broda gi brode
3	1, 2	mpg1 225	1 ⊢ ganai ro da zo'u broda gi ro da zo'u brode

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 ro brd 222

This theorem was proved from axioms: ax-mp 10 ax-gen1 224 ax-qi1 234

This theorem is referenced by: alrimih 238 foml19.29 429 stdpc4 455