Theorem pimim2i ≪ | index | src | ≫

theorem pimim2i {x: nat} (p q1 q2: wff x):
  $ q1 -> q2 $ >
  $ (P. x p -> q1) -> (P. x p -> q2) $;

Step	Hyp	Ref	Expression
1		pimim2	A. x (q1 -> q2) -> (P. x p -> q1) -> (P. x p -> q2)
2		hyp h	q1 -> q2
3	2	ax_gen	A. x (q1 -> q2)
4	1, 3	ax_mp	(P. x p -> q1) -> (P. x p -> q2)

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp), axs_pred_calc (ax_gen, ax_4)