# HG changeset patch # User hoelzl # Date 1450705484 -3600 # Node ID b4bfa62e799dcc7d26e5d2f4899f1a9e25a161d8 # Parent ff4d33058566de5dbb933ca24f22a245e37d39af Transcendental: use [simp]-canonical form - (pi/2) diff -r ff4d33058566 -r b4bfa62e799d src/HOL/Transcendental.thy --- a/src/HOL/Transcendental.thy Thu Dec 17 16:43:36 2015 +0100 +++ b/src/HOL/Transcendental.thy Mon Dec 21 14:44:44 2015 +0100 @@ -4680,7 +4680,7 @@ DERIV_arctan[THEN DERIV_chain2, derivative_intros] DERIV_arctan[THEN DERIV_chain2, unfolded has_field_derivative_def, derivative_intros] -lemma filterlim_tan_at_right: "filterlim tan at_bot (at_right (- pi/2))" +lemma filterlim_tan_at_right: "filterlim tan at_bot (at_right (- (pi/2)))" by (rule filterlim_at_bot_at_right[where Q="\x. - pi/2 < x \ x < pi/2" and P="\x. True" and g=arctan]) (auto simp: arctan le_less eventually_at dist_real_def simp del: less_divide_eq_numeral1 intro!: tan_monotone exI[of _ "pi/2"])