Theorem nfrlam1 | index | src |

theorem nfrlam1 {x: nat} (a b: nat x): $ FN/ x a $ > $ FN/ x \. x e. a, b $;
StepHypRefExpression
1 nflam1
FS/ x \ x, b
2 hyp h1
FN/ x a
3 2 nfns
FS/ x a
4 1, 3 nfres
FS/ x (\ x, b) |` a
5 4 nflower
FN/ x lower ((\ x, b) |` a)
6 5 conv rlam
FN/ x \. x e. 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 (peano2, addeq, muleq)