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Theorem scotteq 40866
Description: Closed form of scotteqd 40865. (Contributed by Rohan Ridenour, 9-Aug-2023.)
Assertion
Ref Expression
scotteq (𝐴 = 𝐵 → Scott 𝐴 = Scott 𝐵)

Proof of Theorem scotteq
StepHypRef Expression
1 id 22 . 2 (𝐴 = 𝐵𝐴 = 𝐵)
21scotteqd 40865 1 (𝐴 = 𝐵 → Scott 𝐴 = Scott 𝐵)
Colors of variables: wff setvar class
Syntax hints:  wi 4   = wceq 1538  Scott cscott 40863
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 1912  ax-6 1971  ax-7 2016  ax-8 2117  ax-9 2125  ax-ext 2796
This theorem depends on definitions:  df-bi 210  df-an 400  df-ex 1782  df-sb 2071  df-clab 2803  df-cleq 2817  df-clel 2896  df-ral 3138  df-rab 3142  df-scott 40864
This theorem is referenced by: (None)
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