diff options
| -rw-r--r-- | theories/Reals/DiscrR.v | 15 |
1 files changed, 14 insertions, 1 deletions
diff --git a/theories/Reals/DiscrR.v b/theories/Reals/DiscrR.v index b3982dab11..f7e3e0b1f4 100644 --- a/theories/Reals/DiscrR.v +++ b/theories/Reals/DiscrR.v @@ -9,6 +9,7 @@ (*i $Id$ i*) Require RIneq. +Require Omega. Recursive Tactic Definition Isrealint trm:= Match trm With @@ -56,4 +57,16 @@ Recursive Tactic Definition Sup0 := Match Context With | [ |- ``0<1`` ] -> Apply Rlt_R0_R1 | [ |- ``0<?1`` ] -> Repeat (Apply Rmult_lt_pos Orelse Apply Rplus_lt_pos; Try Apply Rlt_R0_R1 Orelse Apply Rlt_R0_R2) - | [ |- ``?1>0`` ] -> Change ``0<?1``; Sup0.
\ No newline at end of file + | [ |- ``?1>0`` ] -> Change ``0<?1``; Sup0. + +Tactic Definition SupOmega := Replace R1 with (IZR `1`); [Repeat Rewrite <- plus_IZR Orelse Rewrite <- mult_IZR; Apply IZR_lt; Omega | Reflexivity]. + +Recursive Tactic Definition Sup := + Match Context With + | [ |- (Rgt ?1 ?2) ] -> Change ``?2<?1``; Sup + | [ |- ``0<?1`` ] -> Sup0 + | [ |- (Rlt (Ropp ?1) R0) ] -> Rewrite <- Ropp_O; Sup + | [ |- (Rlt (Ropp ?1) (Ropp ?2)) ] -> Apply Rlt_Ropp; Sup + | [ |- (Rlt (Ropp ?1) ?2) ] -> Apply Rlt_trans with ``0``; Sup + | [ |- (Rlt ?1 ?2) ] -> SupOmega + | _ -> Idtac.
\ No newline at end of file |