Theorem ax6er 36016

Description: Commuted form of ax6e 2380. (Could be placed right after ax6e 2380). (Contributed by BJ, 15-Sep-2018.)

Assertion

Ref	Expression
ax6er	⊢ ∃𝑥 𝑦 = 𝑥

Proof of Theorem ax6er

Step	Hyp	Ref	Expression
1		ax6e 2380	. 2 ⊢ ∃𝑥 𝑥 = 𝑦
2		equcomi 2018	. 2 ⊢ (𝑥 = 𝑦 → 𝑦 = 𝑥)
3	1, 2	eximii 1837	1 ⊢ ∃𝑥 𝑦 = 𝑥

Syntax hints:  ∃wex 1779

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1911  ax-6 1969  ax-7 2009  ax-12 2169  ax-13 2369

This theorem depends on definitions:  df-bi 206  df-an 395  df-ex 1780

This theorem is referenced by:  exlimiieq2  36018