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* ZArith + other : favor the use of modern names instead of compat notationsGravatar letouzey2012-07-05
| | | | | | | | | | | | | | | | | | - For instance, refl_equal --> eq_refl - Npos, Zpos, Zneg now admit more uniform qualified aliases N.pos, Z.pos, Z.neg. - A new module BinInt.Pos2Z with results about injections from positive to Z - A result about Z.pow pushed in the generic layer - Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l} - Using tactic Z.le_elim instead of Zle_lt_or_eq - Some cleanup in ring, field, micromega (use of "Equivalence", "Proper" ...) - Some adaptions in QArith (for instance changed Qpower.Qpower_decomp) - In ZMake and ZMake, functor parameters are now named NN and ZZ instead of N and Z for avoiding confusions git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15515 85f007b7-540e-0410-9357-904b9bb8a0f7
* Delete trailing whitespaces in all *.{v,ml*} filesGravatar glondu2009-09-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
* A generic preprocessing tactic zify for (r)omegaGravatar letouzey2007-07-18
------------------------------------------------ See file PreOmega for more details and/or test-suite/succes/*Omega*.v The zify tactic performs a Z-ification of your current goal, transforming parts of type nat, N, positive, taking advantage of many equivalences of operations, and of the positivity implied by these types. Integration with omega and romega: (r)omega : the earlier tactics, 100% compatible (r)omega with * : full zify applied before the (r)omega run (r)omega with <types>, where <types> is a sub-list of {nat,N,positive,Z}, applies only specific parts of zify (btw "with Z" means take advantage of Zmax, Zmin, Zabs and Zsgn). As a particular consequence, "romega with nat" should now be a close-to-perfect replacement for omega. Slightly more powerful, since (forall x:nat, x*x>=0) is provable and also slightly less powerful: if False is somewhere in the hypothesis, it doesn't use it. For the moment zify is done in a direct way in Ltac, using rewrite when necessary, but crucial chains of rewrite may be made reflexive some day. Even though zify is designed to help (r)omega, I think it might be of interest for other tactics (micromega ?). Feel free to complete zify if your favorite operation / type isn't handled yet. Side-effects: - additional results for ZArith, NArith, etc... - definition of Ple, Plt, Pgt, Pge and notations for them in positive_scope - romega now start by doing "intros". Since the conclusion will be negated, and this operation will be justified by means of decidability, it helps to have as little as possible in the conclusion. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10028 85f007b7-540e-0410-9357-904b9bb8a0f7