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