Theorem bieq1d | index | src |

theorem bieq1d (a b c d: wff):
  $ a -> (b <-> c) $ >
  $ a -> (b <-> d <-> (c <-> d)) $;
StepHypRefExpression
1 hyp h
a -> (b <-> c)
2 biidd
a -> (d <-> d)
3 1, 2 bieqd
a -> (b <-> d <-> (c <-> d))

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)