Theorem eimd ≪ | index | src | ≫

theorem eimd (a b c d: wff):
  $ a -> b $ >
  $ a -> c -> d $ >
  $ a -> (b -> c) -> d $;

Step	Hyp	Ref	Expression
1		hyp h1	a -> b
2		mpcom	b -> (b -> c) -> c
3	1, 2	rsyl	a -> (b -> c) -> c
4		hyp h2	a -> c -> d
5	3, 4	syld	a -> (b -> c) -> d

Axiom use

axs_prop_calc (ax_1, ax_2, ax_mp)