ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  pm3.21 GIF version

Theorem pm3.21 255
Description: Join antecedents with conjunction. Theorem *3.21 of [WhiteheadRussell] p. 111. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
pm3.21 (𝜑 → (𝜓 → (𝜓𝜑)))

Proof of Theorem pm3.21
StepHypRef Expression
1 pm3.2 130 . 2 (𝜓 → (𝜑 → (𝜓𝜑)))
21com12 30 1 (𝜑 → (𝜓 → (𝜓𝜑)))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 101
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 105
This theorem is referenced by:  pm3.22  256  iba  288  ancr  308  anc2r  315  pm5.31  334  xoranor  1284  19.41h  1591  19.41  1592  ltsopr  6752  bj-findis  10491
  Copyright terms: Public domain W3C validator