Theorem ax6er 32008

Description: Another form of ax6e 2238. ( Could be placed right after ax6e 2238). (Contributed by BJ, 15-Sep-2018.)

Assertion

Ref	Expression
ax6er	⊢ ∃𝑥 𝑦 = 𝑥

Proof of Theorem ax6er

Step	Hyp	Ref	Expression
1		ax6e 2238	. 2 ⊢ ∃𝑥 𝑥 = 𝑦
2		equcomi 1931	. 2 ⊢ (𝑥 = 𝑦 → 𝑦 = 𝑥)
3	1, 2	eximii 1754	1 ⊢ ∃𝑥 𝑦 = 𝑥

Syntax hints:  ∃wex 1695

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713  ax-4 1728  ax-5 1827  ax-6 1875  ax-7 1922  ax-12 2034  ax-13 2234

This theorem depends on definitions:  df-bi 196  df-an 385  df-ex 1696

This theorem is referenced by:  exlimiieq2  32010