Theorem frege54cor1b 41455

Description: Reflexive equality. (Contributed by RP, 24-Dec-2019.)

Assertion

Ref	Expression
frege54cor1b	⊢ [𝑥 / 𝑦]𝑦 = 𝑥

Proof of Theorem frege54cor1b

Step	Hyp	Ref	Expression
1		equsb1 2496	1 ⊢ [𝑥 / 𝑦]𝑦 = 𝑥

Syntax hints:  [wsb 2070

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1801  ax-4 1815  ax-5 1916  ax-6 1974  ax-7 2014  ax-10 2140  ax-12 2174  ax-13 2373

This theorem depends on definitions:  df-bi 206  df-an 396  df-or 844  df-ex 1786  df-nf 1790  df-sb 2071

This theorem is referenced by:  frege55lem2b  41457