Proof

Proof Summary of Transcendental.thy:4159

Isabelle Statement

source: Transcendental.thy:4159 benchmark: isa/deeper/B-mesh-th0/train2k problem: problems/HOL/0112_Transcendental/prob_04159_148409.p

Lemma

lemma sin_pi_divide_n_ge_0 [simp]:
  assumes "n ≠ 0"
  shows "0 ≤ sin (pi/real n)"

Proof Excerpt

lemma sin_pi_divide_n_ge_0 [simp]:
  assumes "n ≠ 0"
  shows "0 ≤ sin (pi/real n)"
  by (rule sin_ge_zero) (use assms in ‹simp_all add: field_split_simps›)

Conjectures

c_0_33

ord_less_eq_real @ zero_zero_real @ ( sin_real @ ( divide_divide_real @ pi @ ( semiri2110766477t_real @ n ) ) )

Axioms

c_0_0 c_0_1 c_0_2 c_0_3 c_0_4 c_0_5 c_0_6 c_0_7 c_0_8 c_0_9 c_0_10 c_0_11 c_0_12 c_0_13 c_0_14 c_0_15 c_0_16 c_0_17 c_0_18 c_0_19 c_0_20 c_0_21 c_0_22 c_0_23 c_0_24 c_0_25 c_0_26 c_0_27 c_0_28 c_0_29 c_0_30 c_0_31 c_0_32 c_0_34 c_0_35 c_0_36 c_0_37 c_0_38 c_0_39 c_0_40 c_0_41 c_0_42 c_0_43 c_0_44 c_0_45 c_0_46 c_0_47 c_0_48 c_0_49 c_0_50 c_0_51 c_0_52 c_0_53 c_0_54 c_0_55

Final Contradiction