Theorem eqtr4i ≪ | index | src | ≫

theorem eqtr4i (a b c: nat): $ a = b $ > $ c = b $ > $ a = c $;

Step	Hyp	Ref	Expression
1		eqtr4	a = b -> c = b -> a = c
2		hyp h1	a = b
3	1, 2	ax_mp	c = b -> a = c
4		hyp h2	c = b
5	3, 4	ax_mp	a = 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)