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Theorem icheqid 47385
Description: In an equality for the same setvar variable, the setvar variable is interchangeable by itself. Special case of ichid 47375 and icheq 47386 without distinct variables restriction. (Contributed by AV, 29-Jul-2023.)
Assertion
Ref Expression
icheqid [𝑥𝑥]𝑥 = 𝑥

Proof of Theorem icheqid
StepHypRef Expression
1 ichid 47375 1 [𝑥𝑥]𝑥 = 𝑥
Colors of variables: wff setvar class
Syntax hints:  [wich 47369
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1791  ax-4 1805  ax-5 1907  ax-6 1964  ax-7 2004  ax-12 2174
This theorem depends on definitions:  df-bi 207  df-an 396  df-ex 1776  df-sb 2062  df-ich 47370
This theorem is referenced by: (None)
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