stdpc6 - brismu bridi

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Theorem stdpc6 459

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

**Assertion**
Ref	Expression
stdpc6	⊢ ro da zo'u da du da

**Proof of Theorem stdpc6**
Step	Hyp	Ref	Expression
1		du-refl 256	. 2 ⊢ da du da
2	1	ax-gen1 224	1 ⊢ ro da zo'u da du da

Colors of variables: sumti selbri bridi

Syntax hints: du sbdu 250

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-gen1 224 ax-gen2 227 ax-qi2 239

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

This theorem is referenced by: (None)