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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 )