From: Ferruccio Guidi Date: Fri, 17 Nov 2006 10:16:10 +0000 (+0000) Subject: CoRN-Decl: missing file added X-Git-Tag: 0.4.95@7852~801 X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=844f4357483380314597d737981134a0b0bac0f1;p=helm.git CoRN-Decl: missing file added --- diff --git a/matita/contribs/CoRN-Decl/CoRN_notation.ma b/matita/contribs/CoRN-Decl/CoRN_notation.ma new file mode 100644 index 000000000..2c08961f3 --- /dev/null +++ b/matita/contribs/CoRN-Decl/CoRN_notation.ma @@ -0,0 +1,625 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +(* This file was automatically generated: do not edit *********************) + +set "baseuri" "cic:/matita/CoRN-Decl/CoRN_notation". + +(* From algebra/Basics ****************************************************) + +(* NOTATION +Notation Pair := (pair (B:=_)). +*) + +(* NOTATION +Notation Proj1 := (proj1 (B:=_)). +*) + +(* NOTATION +Notation Proj2 := (proj2 (B:=_)). +*) + +(* From algebra/CFields ***************************************************) + +(* NOTATION +Notation "x [/] y [//] Hy" := (cf_div x y Hy) (at level 80). +*) + +(* NOTATION +Notation "{1/} x" := (Frecip x) (at level 2, right associativity). +*) + +(* NOTATION +Infix "{/}" := Fdiv (at level 41, no associativity). +*) + +(* From algebra/CGroups ***************************************************) + +(* NOTATION +Notation "[--] x" := (cg_inv x) (at level 2, right associativity). +*) + +(* NOTATION +Infix "[-]" := cg_minus (at level 50, left associativity). +*) + +(* NOTATION +Notation "{--} x" := (Finv x) (at level 2, right associativity). +*) + +(* NOTATION +Infix "{-}" := Fminus (at level 50, left associativity). +*) + +(* From algebra/CLogic ****************************************************) + +(* NOTATION +Infix "IFF" := Iff (at level 60, right associativity). +*) + +(* NOTATION +Infix "or" := COr (at level 85, right associativity). +*) + +(* NOTATION +Infix "and" := CAnd (at level 80, right associativity). +*) + +(* NOTATION +Notation "{ x : A | P }" := (sigT (fun x : A => P):CProp) + (at level 0, x at level 99) : type_scope. +*) + +(* NOTATION +Notation "{ x : A | P | Q }" := + (sig2T A (fun x : A => P) (fun x : A => Q)) (at level 0, x at level 99) : + type_scope. +*) + +(* NOTATION +Notation ProjT1 := (proj1_sigT _ _). +*) + +(* NOTATION +Notation ProjT2 := (proj2_sigT _ _). +*) + +(* From algebra/CMonoids **************************************************) + +(* NOTATION +Notation Zero := (cm_unit _). +*) + +(* From algebra/COrdAbs ***************************************************) + +(* NOTATION +Notation ZeroR := (Zero:R). +*) + +(* NOTATION +Notation AbsBig := (absBig _). +*) + +(* From algebra/COrdFields ************************************************) + +(* NOTATION +Infix "[<]" := cof_less (at level 70, no associativity). +*) + +(* NOTATION +Infix "[>]" := greater (at level 70, no associativity). +*) + +(* NOTATION +Infix "[<=]" := leEq (at level 70, no associativity). +*) + +(* NOTATION +Notation " x [/]OneNZ" := (x[/] One[//]ring_non_triv _) (at level 20). +*) + +(* NOTATION +Notation " x [/]TwoNZ" := (x[/] Two[//]two_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]ThreeNZ" := (x[/] Three[//]three_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]FourNZ" := (x[/] Four[//]four_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]SixNZ" := (x[/] Six[//]six_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]EightNZ" := (x[/] Eight[//]eight_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]NineNZ" := (x[/] Nine[//]nine_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]TwelveNZ" := (x[/] Twelve[//]twelve_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]SixteenNZ" := (x[/] Sixteen[//]sixteen_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]EighteenNZ" := (x[/] Eighteen[//]eighteen_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]TwentyFourNZ" := (x[/] TwentyFour[//]twentyfour_ap_zero _) (at level 20). +*) + +(* NOTATION +Notation " x [/]FortyEightNZ" := (x[/] FortyEight[//]fortyeight_ap_zero _) (at level 20). +*) + +(* From algebra/COrdFields2 ***********************************************) + +(* NOTATION +Notation ZeroR := (Zero:R). +*) + +(* NOTATION +Notation OneR := (One:R). +*) + +(* From algebra/CPoly_ApZero **********************************************) + +(* NOTATION +Notation RX := (cpoly_cring R). +*) + +(* NOTATION +Notation RX := (cpoly_cring R). +*) + +(* NOTATION +Notation RX := (cpoly_cring R). +*) + +(* From algebra/CPoly_Degree **********************************************) + +(* NOTATION +Notation RX := (cpoly_cring R). +*) + +(* NOTATION +Notation RX := (cpoly_cring R). +*) + +(* NOTATION +Notation FX := (cpoly_cring F). +*) + +(* From algebra/CPoly_NthCoeff ********************************************) + +(* NOTATION +Notation RX := (cpoly_cring R). +*) + +(* NOTATION +Notation RX := (cpoly_cring R). +*) + +(* From algebra/CPolynomials **********************************************) + +(* NOTATION +Infix "[+X*]" := cpoly_linear_fun' (at level 50, left associativity). +*) + +(* NOTATION +Notation RX := (cpoly_cring CR). +*) + +(* NOTATION +Infix "!" := cpoly_apply_fun (at level 1, no associativity). +*) + +(* NOTATION +Notation RX := (cpoly_cring R). +*) + +(* NOTATION +Notation Cpoly := (cpoly CR). +*) + +(* NOTATION +Notation Cpoly_zero := (cpoly_zero CR). +*) + +(* NOTATION +Notation Cpoly_linear := (cpoly_linear CR). +*) + +(* NOTATION +Notation Cpoly_cring := (cpoly_cring CR). +*) + +(* From algebra/CRings ****************************************************) + +(* NOTATION +Notation One := (cr_one _). +*) + +(* NOTATION +Infix "[*]" := cr_mult (at level 40, left associativity). +*) + +(* NOTATION +Notation "x [^] n" := (nexp_op _ n x) (at level 20). +*) + +(* NOTATION +Notation Two := (nring 2). +*) + +(* NOTATION +Notation Three := (nring 3). +*) + +(* NOTATION +Notation Four := (nring 4). +*) + +(* NOTATION +Notation Six := (nring 6). +*) + +(* NOTATION +Notation Eight := (nring 8). +*) + +(* NOTATION +Notation Twelve := (nring 12). +*) + +(* NOTATION +Notation Sixteen := (nring 16). +*) + +(* NOTATION +Notation Nine := (nring 9). +*) + +(* NOTATION +Notation Eighteen := (nring 18). +*) + +(* NOTATION +Notation TwentyFour := (nring 24). +*) + +(* NOTATION +Notation FortyEight := (nring 48). +*) + +(* NOTATION +Infix "{*}" := Fmult (at level 40, left associativity). +*) + +(* NOTATION +Infix "{**}" := Fscalmult (at level 40, left associativity). +*) + +(* NOTATION +Infix "{^}" := Fnth (at level 30, right associativity). +*) + +(* From algebra/CSemiGroups ***********************************************) + +(* NOTATION +Infix "[+]" := csg_op (at level 50, left associativity). +*) + +(* NOTATION +Infix "{+}" := Fplus (at level 50, left associativity). +*) + +(* From algebra/CSetoidFun ************************************************) + +(* NOTATION +Notation Conj := (conjP _). +*) + +(* NOTATION +Notation BDom := (bpfdom _ _). +*) + +(* NOTATION +Notation Dom := (pfdom _). +*) + +(* NOTATION +Notation Part := (pfpfun _). +*) + +(* NOTATION +Notation "[-C-] x" := (Fconst x) (at level 2, right associativity). +*) + +(* NOTATION +Notation FId := (Fid _). +*) + +(* NOTATION +Infix "[o]" := Fcomp (at level 65, no associativity). +*) + +(* NOTATION +Notation Prj1 := (prj1 _ _ _ _). +*) + +(* NOTATION +Notation Prj2 := (prj2 _ _ _ _). +*) + +(* From algebra/CSetoids **************************************************) + +(* NOTATION +Infix "[=]" := cs_eq (at level 70, no associativity). +*) + +(* NOTATION +Infix "[#]" := cs_ap (at level 70, no associativity). +*) + +(* NOTATION +Infix "[~=]" := cs_neq (at level 70, no associativity). +*) + +(* From algebra/CVectorSpace **********************************************) + +(* NOTATION +Infix "[']" := vs_op (at level 30, no associativity). +*) + +(* From algebra/Expon *****************************************************) + +(* NOTATION +Notation "( x [//] Hx ) [^^] n" := (zexp x Hx n) (at level 0). +*) + +(* From complex/CComplex **************************************************) + +(* NOTATION +Notation CCX := (cpoly_cring CC). +*) + +(* NOTATION +Infix "[+I*]" := cc_set_CC (at level 48, no associativity). +*) + +(* From ftc/FTC ***********************************************************) + +(* NOTATION +Notation "[-S-] F" := (Fprim F) (at level 20). +*) + +(* From ftc/Integral ******************************************************) + +(* NOTATION +Notation Integral := (integral _ _ Hab). +*) + +(* From ftc/RefLemma ******************************************************) + +(* NOTATION +Notation g := RL_g. +*) + +(* NOTATION +Notation h := RL_h. +*) + +(* NOTATION +Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ HfP _ _)). +*) + +(* NOTATION +Notation just2 := (incF _ (Pts_part_lemma _ _ _ _ _ _ HfQ _ _)). +*) + +(* NOTATION +Notation just := (fun z => incF _ (Pts_part_lemma _ _ _ _ _ _ z _ _)). +*) + +(* From ftc/RefSeparated **************************************************) + +(* NOTATION +Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ gP _ _)). +*) + +(* NOTATION +Notation just2 := + (incF _ (Pts_part_lemma _ _ _ _ _ _ sep__sep_points_lemma _ _)). +*) + +(* From ftc/RefSeparating *************************************************) + +(* NOTATION +Notation m := RS'_m. +*) + +(* NOTATION +Notation h := RS'_h. +*) + +(* NOTATION +Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ gP _ _)). +*) + +(* NOTATION +Notation just2 := + (incF _ (Pts_part_lemma _ _ _ _ _ _ sep__part_pts_in_Partition _ _)). +*) + +(* From ftc/Rolle *********************************************************) + +(* NOTATION +Notation cp := (compact_part a b Hab' d Hd). +*) + +(* From ftc/TaylorLemma ***************************************************) + +(* NOTATION +Notation A := (Build_subcsetoid_crr IR _ _ TL_compact_a). +*) + +(* NOTATION +Notation B := (Build_subcsetoid_crr IR _ _ TL_compact_b). +*) + +(* From ftc/WeakIVT *******************************************************) + +(* NOTATION +Infix "**" := prodT (at level 20). +*) + +(* From metrics/CPseudoMSpaces ********************************************) + +(* NOTATION +Infix "[-d]" := cms_d (at level 68, left associativity). +*) + +(* From model/structures/Nsec *********************************************) + +(* NOTATION +Infix "{#N}" := ap_nat (no associativity, at level 90). +*) + +(* From model/structures/Qsec *********************************************) + +(* NOTATION +Infix "{=Q}" := Qeq (no associativity, at level 90). +*) + +(* NOTATION +Infix "{#Q}" := Qap (no associativity, at level 90). +*) + +(* NOTATION +Infix "{