X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fnlibrary%2Fre%2Fre-setoids.ma;h=79f6b49d9b22aab1d6f0bd37d7ea421a3803f9e1;hb=8db3579bec4d9a97af526f95a179587a2fbfe3e3;hp=70b39c7c49af91faf9859037bd3c8d45c54a7156;hpb=6733674a52c5a2c9e5bc3a39ad1614b5ee2b1d62;p=helm.git diff --git a/matita/matita/nlibrary/re/re-setoids.ma b/matita/matita/nlibrary/re/re-setoids.ma index 70b39c7c4..79f6b49d9 100644 --- a/matita/matita/nlibrary/re/re-setoids.ma +++ b/matita/matita/nlibrary/re/re-setoids.ma @@ -97,7 +97,7 @@ notation > "a ^ *" non associative with precedence 75 for @{ 'pk $a}. interpretation "star" 'pk a = (k ? a). interpretation "or" 'plus a b = (o ? a b). -notation "a · b" non associative with precedence 60 for @{ 'pc $a $b}. +notation "a · b" non associative with precedence 65 for @{ 'pc $a $b}. interpretation "cat" 'pc a b = (c ? a b). (* to get rid of \middot *) @@ -629,7 +629,7 @@ nlemma not_epsilon_lp : ∀S:Alpha.∀e:pitem S. ¬ ([ ] ∈ (𝐋\p e)). nqed. ndefinition lo ≝ λS:Alpha.λa,b:pre S.〈\fst a + \fst b,\snd a || \snd b〉. -notation "a ⊕ b" left associative with precedence 60 for @{'oplus $a $b}. +notation "a ⊕ b" left associative with precedence 65 for @{'oplus $a $b}. interpretation "oplus" 'oplus a b = (lo ? a b). ndefinition lc ≝ λS:Alpha.λbcast:∀S:Alpha.∀E:pitem S.pre S.λa,b:pre S. @@ -638,9 +638,9 @@ ndefinition lc ≝ λS:Alpha.λbcast:∀S:Alpha.∀E:pitem S.pre S.λa,b:pre S. [ false ⇒ 〈e1 · \fst b, \snd b〉 | true ⇒ 〈e1 · \fst (bcast ? (\fst b)),\snd b || \snd (bcast ? (\fst b))〉]]. -notation < "a ⊙ b" left associative with precedence 60 for @{'lc $op $a $b}. +notation < "a ⊙ b" left associative with precedence 65 for @{'lc $op $a $b}. interpretation "lc" 'lc op a b = (lc ? op a b). -notation > "a ⊙ b" left associative with precedence 60 for @{'lc eclose $a $b}. +notation > "a ⊙ b" left associative with precedence 65 for @{'lc eclose $a $b}. ndefinition lk ≝ λS:Alpha.λbcast:∀S:Alpha.∀E:pitem S.pre S.λa:pre S. match a with [ mk_pair e1 b1 ⇒ @@ -652,7 +652,7 @@ notation < "a \sup ⊛" non associative with precedence 90 for @{'lk $op $a}. interpretation "lk" 'lk op a = (lk ? op a). notation > "a ^ ⊛" non associative with precedence 75 for @{'lk eclose $a}. -notation > "•" non associative with precedence 60 for @{eclose ?}. +notation > "•" non associative with precedence 65 for @{eclose ?}. nlet rec eclose (S: Alpha) (E: pitem S) on E : pre S ≝ match E with [ pz ⇒ 〈 0, false 〉 @@ -662,9 +662,9 @@ nlet rec eclose (S: Alpha) (E: pitem S) on E : pre S ≝ | po E1 E2 ⇒ •E1 ⊕ •E2 | pc E1 E2 ⇒ •E1 ⊙ 〈 E2, false 〉 | pk E ⇒ 〈(\fst (•E))^*,true〉]. -notation < "• x" non associative with precedence 60 for @{'eclose $x}. +notation < "• x" non associative with precedence 65 for @{'eclose $x}. interpretation "eclose" 'eclose x = (eclose ? x). -notation > "• x" non associative with precedence 60 for @{'eclose $x}. +notation > "• x" non associative with precedence 65 for @{'eclose $x}. ndefinition reclose ≝ λS:Alpha.λp:pre S.let p' ≝ •\fst p in 〈\fst p',\snd p || \snd p'〉. interpretation "reclose" 'eclose x = (reclose ? x). @@ -983,7 +983,7 @@ ntheorem bull_true_epsilon : ∀S.∀e:pitem S. \snd (•e) = true ↔ [ ] ∈ . STOP notation > "\move term 90 x term 90 E" -non associative with precedence 60 for @{move ? $x $E}. +non associative with precedence 65 for @{move ? $x $E}. nlet rec move (S: Alpha) (x:S) (E: pitem S) on E : pre S ≝ match E with [ pz ⇒ 〈 ∅, false 〉 @@ -993,8 +993,8 @@ nlet rec move (S: Alpha) (x:S) (E: pitem S) on E : pre S ≝ | po e1 e2 ⇒ \move x e1 ⊕ \move x e2 | pc e1 e2 ⇒ \move x e1 ⊙ \move x e2 | pk e ⇒ (\move x e)^⊛ ]. -notation < "\move\shy x\shy E" non associative with precedence 60 for @{'move $x $E}. -notation > "\move term 90 x term 90 E" non associative with precedence 60 for @{'move $x $E}. +notation < "\move\shy x\shy E" non associative with precedence 65 for @{'move $x $E}. +notation > "\move term 90 x term 90 E" non associative with precedence 65 for @{'move $x $E}. interpretation "move" 'move x E = (move ? x E). ndefinition rmove ≝ λS:Alpha.λx:S.λe:pre S. \move x (\fst e). @@ -1064,7 +1064,7 @@ ntheorem move_ok: nqed. -notation > "x ↦* E" non associative with precedence 60 for @{move_star ? $x $E}. +notation > "x ↦* E" non associative with precedence 65 for @{move_star ? $x $E}. nlet rec move_star (S : decidable) w E on w : bool × (pre S) ≝ match w with [ nil ⇒ E