Metamath Proof Explorer


Theorem ax6evr

Description: A commuted form of ax6ev . (Contributed by BJ, 7-Dec-2020)

Ref Expression
Assertion ax6evr ∃ 𝑥 𝑦 = 𝑥

Proof

Step Hyp Ref Expression
1 ax6ev ⊢ ∃ 𝑥 𝑥 = 𝑦
2 equcomiv ⊢ ( 𝑥 = 𝑦 → 𝑦 = 𝑥 )
3 1 2 eximii ⊢ ∃ 𝑥 𝑦 = 𝑥