Theorem icheqid 48072

Description: In an equality for the same setvar variable, the setvar variable is interchangeable by itself. Special case of ichid 48062 and icheq 48073 without distinct variables restriction. (Contributed by AV, 29-Jul-2023.)

Assertion

Ref	Expression
icheqid	⊢ [𝑥⇄𝑥]𝑥 = 𝑥

Proof of Theorem icheqid

Step	Hyp	Ref	Expression
1		ichid 48062	1 ⊢ [𝑥⇄𝑥]𝑥 = 𝑥

Syntax hints:  [wich 48056

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1817  ax-4 1831  ax-5 1932  ax-6 1989  ax-7 2030  ax-12 2214

This theorem depends on definitions:  df-bi 209  df-an 400  df-ex 1802  df-sb 2093  df-ich 48057

This theorem is referenced by: (None)