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| author |  Joachim Breitner <mail@joachim-breitner.de> | 2018-01-17 08:01:18 -0500 |
|---|---|---|
| committer | Joachim Breitner <mail@joachim-breitner.de> | 2018-02-14 21:24:43 -0500 |
| commit | f87b9c9564b21b2f531629311787f329c5851af7 (patch) | |
| tree | 4c1e1727fa5ae9b1c34320eafc8ab7d0ca35fba3 /plugins/omega | |
| parent | 41893cb647fbdce87b40acd5763e837370d61ece (diff) | |
Extend `zify_N` with knowledge about `N.pred`
by doing the same thing as `zify_nat` does for `nat.pred`.
This fixes #6602.
Diffstat (limited to 'plugins/omega')
| -rw-r--r-- | plugins/omega/PreOmega.v | 6 |
1 files changed, 5 insertions, 1 deletions
diff --git a/plugins/omega/PreOmega.v b/plugins/omega/PreOmega.v index 8da45e0ad..93103e026 100644 --- a/plugins/omega/PreOmega.v +++ b/plugins/omega/PreOmega.v @@ -26,7 +26,7 @@ Local Open Scope Z_scope. - on Z: Z.min, Z.max, Z.abs, Z.sgn are translated in term of <= < = - on nat: + * - S O pred min max Pos.to_nat N.to_nat Z.abs_nat - on positive: Zneg Zpos xI xO xH + * - Pos.succ Pos.pred Pos.min Pos.max Pos.of_succ_nat - - on N: N0 Npos + * - N.succ N.min N.max N.of_nat Z.abs_N + - on N: N0 Npos + * - N.pred N.succ N.min N.max N.of_nat Z.abs_N *) @@ -391,6 +391,10 @@ Ltac zify_N_op := | H : context [ Z.of_N (N.sub ?a ?b) ] |- _ => rewrite (N2Z.inj_sub_max a b) in H | |- context [ Z.of_N (N.sub ?a ?b) ] => rewrite (N2Z.inj_sub_max a b) + (* pred -> minus ... -1 -> Z.max (Z.sub ... -1) 0 *) + | H : context [ Z.of_N (N.pred ?a) ] |- _ => rewrite (N.pred_sub a) in H + | |- context [ Z.of_N (N.pred ?a) ] => rewrite (N.pred_sub a) + (* N.succ -> Z.succ *) | H : context [ Z.of_N (N.succ ?a) ] |- _ => rewrite (N2Z.inj_succ a) in H | |- context [ Z.of_N (N.succ ?a) ] => rewrite (N2Z.inj_succ a) |