Theorem eord | index | src |

theorem eord (a b c d: wff):
  $ a -> b -> d $ >
  $ a -> c -> d $ >
  $ a -> b \/ c -> d $;
StepHypRefExpression
1 hyp h1
a -> b -> d
2 1 com12
b -> a -> d
3 hyp h2
a -> c -> d
4 3 com12
c -> a -> d
5 2, 4 eori
b \/ c -> a -> d
6 5 com12
a -> b \/ c -> d

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp)