Theorem eqmtr | index | src |

theorem eqmtr (a b c n: nat):
  $ mod(n): a = b -> mod(n): b = c -> mod(n): a = c $;
StepHypRefExpression
1 eqtr
a % n = b % n -> b % n = c % n -> a % n = c % n
2 1 conv eqm
mod(n): a = b -> mod(n): b = c -> mod(n): a = c

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7)