MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  ax11dgen Structured version   Visualization version   GIF version

Theorem ax11dgen 2006
Description: Degenerate instance of ax-11 2032 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 (∀𝑥𝑥𝜑 → ∀𝑥𝑥𝜑)

Proof of Theorem ax11dgen
StepHypRef Expression
1 id 22 1 (∀𝑥𝑥𝜑 → ∀𝑥𝑥𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1479
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator