Metamath Proof Explorer


Theorem ax11dgen

Description: Degenerate instance of ax-11 where bundled variables x and y have a common substitution. Uses only Tarski's FOL axiom schemes. (Contributed by NM, 13-Apr-2017)

Ref Expression
Assertion ax11dgen ⊢ ∀ x ∀ x φ → ∀ x ∀ x φ

Proof

Step Hyp Ref Expression
1 id ⊢ ∀ x ∀ x φ → ∀ x ∀ x φ