Metamath Proof Explorer


Theorem scotteqi

Description: Equality theorem for the Scott operation. Inference form of scotteq . (Contributed by BTernaryTau, 3-Jul-2026)

Ref Expression
Hypothesis scotteqi.1 ⊢ A = B
Assertion scotteqi ⊢ Scott A = Scott B

Proof

Step Hyp Ref Expression
1 scotteqi.1 ⊢ A = B
2 scotteq ⊢ A = B → Scott A = Scott B
3 1 2 ax-mp ⊢ Scott A = Scott B