src/HOL/Integ/NatSimprocs.thy
changeset 14475 aa973ba84f69
parent 14436 77017c49c004
child 14577 dbb95b825244
equal deleted inserted replaced
14474:00292f6f8d13 14475:aa973ba84f69
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   222 lemma minus1_divide [simp]:
   222 lemma minus1_divide [simp]:
   223      "-1 / (x::'a::{field,division_by_zero,number_ring}) = - (1/x)"
   223      "-1 / (x::'a::{field,division_by_zero,number_ring}) = - (1/x)"
   224 by (simp add: divide_inverse inverse_minus_eq)
   224 by (simp add: divide_inverse inverse_minus_eq)
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   225 
       
   226 lemma half_gt_zero_iff:
       
   227      "(0 < r/2) = (0 < (r::'a::{ordered_field,division_by_zero,number_ring}))"
       
   228 by auto
       
   229 
       
   230 lemmas half_gt_zero = half_gt_zero_iff [THEN iffD2, simp]
       
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   229 ML
   235 ML
   230 {*
   236 {*