Theorem scotteq 43947

Description: Closed form of scotteqd 43946. (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 43946	1 ⊢ (𝐴 = 𝐵 → Scott 𝐴 = Scott 𝐵)

Syntax hints:   → wi 4   = wceq 1534  Scott cscott 43944

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1790  ax-4 1804  ax-5 1906  ax-6 1964  ax-7 2004  ax-8 2101  ax-9 2109  ax-ext 2697

This theorem depends on definitions:  df-bi 206  df-an 395  df-ex 1775  df-sb 2061  df-clab 2704  df-cleq 2718  df-clel 2803  df-ral 3052  df-rex 3061  df-rab 3421  df-scott 43945

This theorem is referenced by: (None)