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authorGravatar barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-03-12 17:49:21 +0000
committerGravatar barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-03-12 17:49:21 +0000
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tree52b9a4058c89b5849d875a4c1129951f35e9c1b1 /theories/Reals/Ranalysis2.v
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Require Rbase.
Require Rfunctions.
Require Ranalysis1.
+Import R_scope.
(**********)
Lemma formule : (x,h,l1,l2:R;f1,f2:R->R) ``h<>0`` -> ``(f2 x)<>0`` -> ``(f2 (x+h))<>0`` -> ``((f1 (x+h))/(f2 (x+h))-(f1 x)/(f2 x))/h-(l1*(f2 x)-l2*(f1 x))/(Rsqr (f2 x))`` == ``/(f2 (x+h))*(((f1 (x+h))-(f1 x))/h-l1) + l1/((f2 x)*(f2 (x+h)))*((f2 x)-(f2 (x+h))) - (f1 x)/((f2 x)*(f2 (x+h)))*(((f2 (x+h))-(f2 x))/h-l2) + (l2*(f1 x))/((Rsqr (f2 x))*(f2 (x+h)))*((f2 (x+h))-(f2 x))``.