Theorem scotteq 40946

Description: Closed form of scotteqd 40945. (Contributed by Rohan Ridenour, 9-Aug-2023.)

Assertion

Ref	Expression
scotteq	⊢ (𝐴 = 𝐵 → Scott 𝐴 = Scott 𝐵)

Proof of Theorem scotteq

Step	Hyp	Ref	Expression
1		id 22	. 2 ⊢ (𝐴 = 𝐵 → 𝐴 = 𝐵)
2	1	scotteqd 40945	1 ⊢ (𝐴 = 𝐵 → Scott 𝐴 = Scott 𝐵)

Syntax hints:   → wi 4   = wceq 1538  Scott cscott 40943

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1911  ax-6 1970  ax-7 2015  ax-8 2113  ax-9 2121  ax-ext 2770

This theorem depends on definitions:  df-bi 210  df-an 400  df-ex 1782  df-sb 2070  df-clab 2777  df-cleq 2791  df-clel 2870  df-ral 3111  df-rab 3115  df-scott 40944

This theorem is referenced by: (None)