ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  ax-12 Structured version   Unicode version

Theorem ax-12 1399
Description: Rederive the original version of the axiom from ax-i12 1395. (Contributed by Mario Carneiro, 3-Feb-2015.)
Assertion
Ref Expression
ax-12

Proof of Theorem ax-12
StepHypRef Expression
1 ax-i12 1395 . . . 4
21ori 641 . . 3
32ord 642 . 2
4 ax-4 1397 . 2
53, 4syl6 29 1
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4   wo 628  wal 1240   wceq 1242
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-in2 545  ax-io 629  ax-i12 1395  ax-4 1397
This theorem depends on definitions:  df-bi 110
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator