Theorem ax6er 37715

Description: Commuted form of ax6e 2413. (Could be placed right after ax6e 2413). (Contributed by BJ, 15-Sep-2018.)

Assertion

Ref	Expression
ax6er	⊢ ∃𝑥 𝑦 = 𝑥

Proof of Theorem ax6er

Step	Hyp	Ref	Expression
1		ax6e 2413	. 2 ⊢ ∃𝑥 𝑥 = 𝑦
2		equcomi 2050	. 2 ⊢ (𝑥 = 𝑦 → 𝑦 = 𝑥)
3	1, 2	eximii 1870	1 ⊢ ∃𝑥 𝑦 = 𝑥

This proof depends on syntax axioms:  ∃wex 1812

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1828  ax-4 1842  ax-5 1943  ax-6 2000  ax-7 2041  ax-12 2213  ax-13 2402

This proof depends on definitions:  df-bi 210  df-an 402  df-ex 1813

This theorem is used by:  exlimiieq2  37717