Theorem appneq1 | index | src |

theorem appneq1 (f g x: nat): $ f = g -> f @ x = g @ x $;
StepHypRefExpression
1 id
f = g -> f = g
2 1 appneq1d
f = g -> f @ x = g @ x

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp, itru), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7, ax_10, ax_11, ax_12), axs_set (elab, ax_8), axs_the (theid, the0), axs_peano (peano2, addeq, muleq)