Theorem icheqid 47950

Description: In an equality for the same setvar variable, the setvar variable is interchangeable by itself. Special case of ichid 47940 and icheq 47951 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 47940	1 ⊢ [𝑥⇄𝑥]𝑥 = 𝑥

Syntax hints:  [wich 47934

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1803  ax-4 1817  ax-5 1918  ax-6 1975  ax-7 2016  ax-12 2191

This theorem depends on definitions:  df-bi 209  df-an 398  df-ex 1788  df-sb 2075  df-ich 47935

This theorem is referenced by: (None)