Metamath Proof Explorer


Theorem bj-axc11nv

Description: Version of axc11n with a disjoint variable condition; instance of aevlem . TODO: delete after checking surrounding theorems. (Contributed by BJ, 31-May-2019) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion bj-axc11nv ( ∀ 𝑥 𝑥 = 𝑦 → ∀ 𝑦 𝑦 = 𝑥 )

Proof

Step Hyp Ref Expression
1 aevlem ( ∀ 𝑥 𝑥 = 𝑦 → ∀ 𝑦 𝑦 = 𝑥 )