Theorem scotteq 40649

Description: Closed form of scotteqd 40648. (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 40648	1 ⊢ (𝐴 = 𝐵 → Scott 𝐴 = Scott 𝐵)

Syntax hints:   → wi 4   = wceq 1536  Scott cscott 40646

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1910  ax-6 1969  ax-7 2014  ax-8 2115  ax-9 2123  ax-ext 2792

This theorem depends on definitions:  df-bi 209  df-an 399  df-ex 1780  df-sb 2069  df-clab 2799  df-cleq 2813  df-clel 2892  df-ral 3142  df-rab 3146  df-scott 40647

This theorem is referenced by: (None)