Theorem lteq1 ≪ | index | src | ≫

theorem lteq1 (_a1 _a2 b: nat): $ _a1 = _a2 -> (_a1 < b <-> _a2 < b) $;

Step	Hyp	Ref	Expression
1		id	_a1 = _a2 -> _a1 = _a2
2	1	lteq1d	_a1 = _a2 -> (_a1 < b <-> _a2 < b)

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), axs_peano (peano2, addeq)