Theorem ifpeq3d ≪ | index | src | ≫

theorem ifpeq3d (_G p a _b1 _b2: wff):
  $ _G -> (_b1 <-> _b2) $ >
  $ _G -> (ifp p a _b1 <-> ifp p a _b2) $;

Step	Hyp	Ref	Expression
1		biidd	_G -> (p <-> p)
2		biidd	_G -> (a <-> a)
3		hyp _h	_G -> (_b1 <-> _b2)
4	1, 2, 3	ifpeqd	_G -> (ifp p a _b1 <-> ifp p a _b2)

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)