Theorem alimdh ≪ | index | src | ≫

theorem alimdh {x: nat} (a b c: wff x):
  $ F/ x a $ >
  $ a -> b -> c $ >
  $ a -> A. x b -> A. x c $;

Step	Hyp	Ref	Expression
1		alim	A. x (b -> c) -> A. x b -> A. x c
2		hyp h1	F/ x a
3		hyp h2	a -> b -> c
4	2, 3	ialdh	a -> A. x (b -> c)
5	1, 4	syl	a -> A. x b -> A. x c

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7, ax_12)