Theorem nflower | index | src |

theorem nflower {x: nat} (A: set x): $ FS/ x A $ > $ FN/ x lower A $;
StepHypRefExpression
1 nfsv
FS/ x a1
2 hyp h
FS/ x A
3 1, 2 nfeqs
F/ x a1 == A
4 3 nfab
FS/ x {a1 | a1 == A}
5 4 nfthe
FN/ x the {a1 | a1 == A}
6 5 conv lower
FN/ x lower A

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)