stdpc7 - brismu bridi

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Theorem stdpc7 460

Description: An axiom of equality for predicate calculus. (Contributed by la korvo, 11-Aug-2026.)

**Assertion**
Ref	Expression
stdpc7	⊢ ganai ko'a du da gi ganai [ ko'a / da ] broda gi broda

**Proof of Theorem stdpc7**
Step	Hyp	Ref	Expression
1		subequ2 457	. 2 ⊢ ganai da du ko'a gi ganai [ ko'a / da ] broda gi broda
2	1	du-syms 262	1 ⊢ ganai ko'a du da gi ganai [ ko'a / da ] broda gi broda

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 [ bsub 448

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 ax-gen2 227 ax-qi2 239 ax-du-trans 258

This theorem depends on definitions: df-go 83 df-o 198 df-du 251 df-sub 449

This theorem is referenced by: (None)