Theorem appslame | index | src |

theorem appslame (a b c: nat) {x: nat} (A: set x):
  $ x = a -> A @ b = c $ >
  $ (\\ x, A) @ (a, b) = c $;
StepHypRefExpression
1 hyp h
x = a -> A @ b = c
2 1 anwr
T. /\ x = a -> A @ b = c
3 2 appslamed
T. -> (\\ x, A) @ (a, b) = c
4 3 trud
(\\ x, A) @ (a, b) = c

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 (peano1, peano2, peano5, addeq, muleq, add0, addS, mul0, mulS)