Theorem ax11dgen 2166

Description: Degenerate instance of ax-11 2192 where bundled variables 𝑥 and 𝑦 have a common substitution. Uses only Tarski's FOL axiom schemes. (Contributed by NM, 13-Apr-2017.)

Assertion

Ref	Expression
ax11dgen	⊢ (∀𝑥∀𝑥𝜑 → ∀𝑥∀𝑥𝜑)

Proof of Theorem ax11dgen

Step	Hyp	Ref	Expression
1		id 23	1 ⊢ (∀𝑥∀𝑥𝜑 → ∀𝑥∀𝑥𝜑)

This proof depends on syntax axioms:   → wi 4  ∀wal 1568

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is used by: (None)