X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Freals%2FIVT.ma;h=19dacb67a89ea750c4d3cbd0d08e40cfa1852bcd;hb=55444711ececb62f0a93f2a064f64c3b27f744e2;hp=7da887f6afe319ca7e8c76f98504df6dca0a9dca;hpb=80110e17ef1d38d71473e9471ce15beddde663bb;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/IVT.ma b/helm/software/matita/contribs/CoRN-Decl/reals/IVT.ma index 7da887f6a..19dacb67a 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/IVT.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/IVT.ma @@ -23,7 +23,7 @@ include "CoRN.ma". include "reals/CPoly_Contin.ma". (* UNEXPORTED -Section Nested_Intervals. +Section Nested_Intervals *) (*#* * Intermediate Value Theorem @@ -39,17 +39,17 @@ Section Nested_Intervals. %\end{convention}% *) -inline "cic:/CoRN/reals/IVT/a.var". +alias id "a" = "cic:/CoRN/reals/IVT/Nested_Intervals/a.var". -inline "cic:/CoRN/reals/IVT/b.var". +alias id "b" = "cic:/CoRN/reals/IVT/Nested_Intervals/b.var". -inline "cic:/CoRN/reals/IVT/a_mon.var". +alias id "a_mon" = "cic:/CoRN/reals/IVT/Nested_Intervals/a_mon.var". -inline "cic:/CoRN/reals/IVT/b_mon.var". +alias id "b_mon" = "cic:/CoRN/reals/IVT/Nested_Intervals/b_mon.var". -inline "cic:/CoRN/reals/IVT/a_b.var". +alias id "a_b" = "cic:/CoRN/reals/IVT/Nested_Intervals/a_b.var". -inline "cic:/CoRN/reals/IVT/b_a.var". +alias id "b_a" = "cic:/CoRN/reals/IVT/Nested_Intervals/b_a.var". inline "cic:/CoRN/reals/IVT/a_mon'.con". @@ -61,7 +61,7 @@ inline "cic:/CoRN/reals/IVT/intervals_cauchy.con". (* begin hide *) -inline "cic:/CoRN/reals/IVT/a'.con". +inline "cic:/CoRN/reals/IVT/Nested_Intervals/a'.con" "Nested_Intervals__". (* end hide *) @@ -71,9 +71,9 @@ inline "cic:/CoRN/reals/IVT/Cnested_intervals_limit.con". %\end{convention}% *) -inline "cic:/CoRN/reals/IVT/f.var". +alias id "f" = "cic:/CoRN/reals/IVT/Nested_Intervals/f.var". -inline "cic:/CoRN/reals/IVT/f_contin.var". +alias id "f_contin" = "cic:/CoRN/reals/IVT/Nested_Intervals/f_contin.var". inline "cic:/CoRN/reals/IVT/f_contin_pos.con". @@ -81,35 +81,35 @@ inline "cic:/CoRN/reals/IVT/f_contin_neg.con". (*#* Assume also that [forall i, f (a i) [<=] Zero [<=] f (b i)]. *) -inline "cic:/CoRN/reals/IVT/f_a.var". +alias id "f_a" = "cic:/CoRN/reals/IVT/Nested_Intervals/f_a.var". -inline "cic:/CoRN/reals/IVT/f_b.var". +alias id "f_b" = "cic:/CoRN/reals/IVT/Nested_Intervals/f_b.var". inline "cic:/CoRN/reals/IVT/Cnested_intervals_zero.con". (* UNEXPORTED -End Nested_Intervals. +End Nested_Intervals *) (* UNEXPORTED -Section Bisection. +Section Bisection *) (*#* ** Bissections *) -inline "cic:/CoRN/reals/IVT/f.var". +alias id "f" = "cic:/CoRN/reals/IVT/Bisection/f.var". -inline "cic:/CoRN/reals/IVT/f_apzero_interval.var". +alias id "f_apzero_interval" = "cic:/CoRN/reals/IVT/Bisection/f_apzero_interval.var". -inline "cic:/CoRN/reals/IVT/a.var". +alias id "a" = "cic:/CoRN/reals/IVT/Bisection/a.var". -inline "cic:/CoRN/reals/IVT/b.var". +alias id "b" = "cic:/CoRN/reals/IVT/Bisection/b.var". -inline "cic:/CoRN/reals/IVT/a_b.var". +alias id "a_b" = "cic:/CoRN/reals/IVT/Bisection/a_b.var". -inline "cic:/CoRN/reals/IVT/f_a.var". +alias id "f_a" = "cic:/CoRN/reals/IVT/Bisection/f_a.var". -inline "cic:/CoRN/reals/IVT/f_b.var". +alias id "f_b" = "cic:/CoRN/reals/IVT/Bisection/f_b.var". (*#* %\begin{convention}% Let [Small] denote [Two[/]ThreeNZ], [lft] be [(Two[*]a[+]b) [/]ThreeNZ] and [rht] be [(a[+]Two[*]b) [/]ThreeNZ]. @@ -118,11 +118,11 @@ inline "cic:/CoRN/reals/IVT/f_b.var". (* begin hide *) -inline "cic:/CoRN/reals/IVT/Small.con". +inline "cic:/CoRN/reals/IVT/Bisection/Small.con" "Bisection__". -inline "cic:/CoRN/reals/IVT/lft.con". +inline "cic:/CoRN/reals/IVT/Bisection/lft.con" "Bisection__". -inline "cic:/CoRN/reals/IVT/rht.con". +inline "cic:/CoRN/reals/IVT/Bisection/rht.con" "Bisection__". (* end hide *) @@ -143,20 +143,20 @@ Hint Resolve smaller_lft smaller_rht: algebra. inline "cic:/CoRN/reals/IVT/Cbisect'.con". (* UNEXPORTED -End Bisection. +End Bisection *) (* UNEXPORTED -Section Bisect_Interval. +Section Bisect_Interval *) -inline "cic:/CoRN/reals/IVT/f.var". +alias id "f" = "cic:/CoRN/reals/IVT/Bisect_Interval/f.var". -inline "cic:/CoRN/reals/IVT/C_f_apzero_interval.var". +alias id "C_f_apzero_interval" = "cic:/CoRN/reals/IVT/Bisect_Interval/C_f_apzero_interval.var". (* begin hide *) -inline "cic:/CoRN/reals/IVT/Small.con". +inline "cic:/CoRN/reals/IVT/Bisect_Interval/Small.con" "Bisect_Interval__". (* end hide *) @@ -169,44 +169,44 @@ inline "cic:/CoRN/reals/IVT/bisect.con". inline "cic:/CoRN/reals/IVT/bisect_prop.con". (* UNEXPORTED -End Bisect_Interval. +End Bisect_Interval *) (* UNEXPORTED -Section IVT_Op. +Section IVT_Op *) (*#* ** IVT for operations Same conventions as before. *) -inline "cic:/CoRN/reals/IVT/f.var". +alias id "f" = "cic:/CoRN/reals/IVT/IVT_Op/f.var". -inline "cic:/CoRN/reals/IVT/f_contin.var". +alias id "f_contin" = "cic:/CoRN/reals/IVT/IVT_Op/f_contin.var". -inline "cic:/CoRN/reals/IVT/f_apzero_interval.var". +alias id "f_apzero_interval" = "cic:/CoRN/reals/IVT/IVT_Op/f_apzero_interval.var". -inline "cic:/CoRN/reals/IVT/a.var". +alias id "a" = "cic:/CoRN/reals/IVT/IVT_Op/a.var". -inline "cic:/CoRN/reals/IVT/b.var". +alias id "b" = "cic:/CoRN/reals/IVT/IVT_Op/b.var". -inline "cic:/CoRN/reals/IVT/a_b.var". +alias id "a_b" = "cic:/CoRN/reals/IVT/IVT_Op/a_b.var". -inline "cic:/CoRN/reals/IVT/f_a.var". +alias id "f_a" = "cic:/CoRN/reals/IVT/IVT_Op/f_a.var". -inline "cic:/CoRN/reals/IVT/f_b.var". +alias id "f_b" = "cic:/CoRN/reals/IVT/IVT_Op/f_b.var". (* begin hide *) -inline "cic:/CoRN/reals/IVT/Small.con". +inline "cic:/CoRN/reals/IVT/IVT_Op/Small.con" "IVT_Op__". (* end hide *) inline "cic:/CoRN/reals/IVT/interval_sequence.con". -inline "cic:/CoRN/reals/IVT/a_.con". +inline "cic:/CoRN/reals/IVT/IVT_Op/a_.con" "IVT_Op__". -inline "cic:/CoRN/reals/IVT/b_.con". +inline "cic:/CoRN/reals/IVT/IVT_Op/b_.con" "IVT_Op__". inline "cic:/CoRN/reals/IVT/intervals_smaller.con". @@ -219,11 +219,11 @@ inline "cic:/CoRN/reals/IVT/intervals_small.con". inline "cic:/CoRN/reals/IVT/Civt_op.con". (* UNEXPORTED -End IVT_Op. +End IVT_Op *) (* UNEXPORTED -Section IVT_Poly. +Section IVT_Poly *) (*#* ** IVT for polynomials *) @@ -231,6 +231,6 @@ Section IVT_Poly. inline "cic:/CoRN/reals/IVT/Civt_poly.con". (* UNEXPORTED -End IVT_Poly. +End IVT_Poly *)