diff options
| author |  Maxime Dénès <mail@maximedenes.fr> | 2018-02-21 19:07:26 +0100 |
|---|---|---|
| committer | Maxime Dénès <mail@maximedenes.fr> | 2018-02-21 19:07:26 +0100 |
| commit | 0c5f0afffd37582787f79267d9841259095b7edc (patch) | |
| tree | bcb0d79d628314f0459e4c340143d75c2204303f /plugins/omega | |
| parent | e97c27b468901aaea148ae775e070bad6eb42571 (diff) | |
| parent | f87b9c9564b21b2f531629311787f329c5851af7 (diff) | |
Merge PR #6604: Extend `zify_N` with knowledge about `N.pred`
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) |