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theorem eqcom (a b: nat): $ a = b -> b = a $;

Step	Hyp	Ref	Expression
1		eqid	a = a
2		ax_7	a = b -> a = a -> b = a
3	1, 2	mpi	a = b -> b = a

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)