NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  ax17el Unicode version

Theorem ax17el 2189
Description: Theorem to add distinct quantifier to atomic formula. This theorem demonstrates the induction basis for ax-17 1616 considered as a metatheorem.) (Contributed by NM, 5-Aug-1993.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
ax17el
Distinct variable groups:   ,   ,

Proof of Theorem ax17el
StepHypRef Expression
1 ax-15 2143 . 2
2 ax-16 2144 . 2
3 ax-16 2144 . 2
41, 2, 3pm2.61ii 157 1
Colors of variables: wff setvar class
Syntax hints:   wi 4  wal 1540
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-15 2143  ax-16 2144
This theorem is referenced by:  dveel2ALT  2191
  Copyright terms: Public domain W3C validator