Theorem ax6er 37449

Description: Commuted form of ax6e 2415. (Could be placed right after ax6e 2415). (Contributed by BJ, 15-Sep-2018.)

Assertion

Ref	Expression
ax6er	⊢ ∃𝑥 𝑦 = 𝑥

Proof of Theorem ax6er

Step	Hyp	Ref	Expression
1		ax6e 2415	. 2 ⊢ ∃𝑥 𝑥 = 𝑦
2		equcomi 2047	. 2 ⊢ (𝑥 = 𝑦 → 𝑦 = 𝑥)
3	1, 2	eximii 1867	1 ⊢ ∃𝑥 𝑦 = 𝑥

Syntax hints:  ∃wex 1809

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1825  ax-4 1839  ax-5 1940  ax-6 1997  ax-7 2038  ax-12 2213  ax-13 2404

This theorem depends on definitions:  df-bi 210  df-an 401  df-ex 1810

This theorem is referenced by:  exlimiieq2  37451