Theorem sappslame ≪ | index | src | ≫

theorem sappslame (B: set) (a: nat) {x: nat} (A: set x):
  $ x = a -> A == B $ >
  $ (\\ x, A) @@ a == B $;

Step	Hyp	Ref	Expression
1		hyp h	x = a -> A == B
2	1	anwr	T. /\ x = a -> A == B
3	2	sappslamed	T. -> (\\ x, A) @@ a == B
4	3	trud	(\\ x, A) @@ a == B

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)