diff options
Diffstat (limited to 'theories/Numbers/Integer/Abstract/ZBase.v')
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZBase.v | 11 |
1 files changed, 8 insertions, 3 deletions
diff --git a/theories/Numbers/Integer/Abstract/ZBase.v b/theories/Numbers/Integer/Abstract/ZBase.v index ace49428d2..db5bc99f92 100644 --- a/theories/Numbers/Integer/Abstract/ZBase.v +++ b/theories/Numbers/Integer/Abstract/ZBase.v @@ -10,10 +10,15 @@ (*i i*) +Require Export Decidable. Require Export ZAxioms. Require Import NZTimesOrder. -Module ZBasePropFunct (Export ZAxiomsMod : ZAxiomsSig). +Module ZBasePropFunct (Import ZAxiomsMod : ZAxiomsSig). + +(* Note: writing "Export" instead of "Import" on the previous line leads to +some warnings about hiding repeated declarations and results in the loss of +notations in Zplus and later *) Open Local Scope IntScope. @@ -43,8 +48,8 @@ Proof NZsucc_inj_wd_neg. (* Decidability and stability of equality was proved only in NZOrder, but since it does not mention order, we'll put it here *) -Theorem Zeq_em : forall n m : Z, n == m \/ n ~= m. -Proof NZeq_em. +Theorem Zeq_dec : forall n m : Z, decidable (n == m). +Proof NZeq_dec. Theorem Zeq_dne : forall n m : Z, ~ ~ n == m <-> n == m. Proof NZeq_dne. |