Proof Summary of Ordinal_Arithmetic.thy:955

Isabelle Statement

source: Ordinal_Arithmetic.thy:955 benchmark: isa/deeper/B-mesh-th0/train2k problem: problems/HOL-Cardinals/0009_Ordinal_Arithmetic/prob_00955_041225.p

Lemma

949
950
951

lemma oexp_empty2[simp]:
  assumes "Well_order r" "r ≠ {}"
  shows "{} ^o r = {}"

Proof Excerpt

  assumes "Well_order r" "r ≠ {}"
  shows "{} ^o r = {}"
proof -
  from assms(2) have "Field r ≠ {}" unfolding Field_def by auto
  thus ?thesis
    by (simp add: assms(1) wo_rel2.intro wo_rel2.oexp_empty)

Conjectures

c_0_1

( ( ordinal_wo_oexp_b_a @ bot_bo1343651123od_b_b @ r )
= bot_bo1798880249_b_a_b )

Axioms

c_0_0 c_0_2 c_0_3 c_0_4 c_0_5 c_0_6

Final Contradiction

c_0_33