update in ground_2 and basic_2

[helm.git] / helm / software / matita / contribs / dama / dama_duality / lattice.ma

diff --git a/helm/software/matita/contribs/dama/dama_duality/lattice.ma b/helm/software/matita/contribs/dama/dama_duality/lattice.ma
index 4da043bcc99dd99ff70b57b19820d8b8dc1ff2af..877563afb78e95b5bd51125620baf5dbe4f0a55e 100644 (file)
--- a/helm/software/matita/contribs/dama/dama_duality/lattice.ma
+++ b/helm/software/matita/contribs/dama/dama_duality/lattice.ma
@@ -24,7 +24,7 @@ record semi_lattice_base : Type ≝ {
 }.
 
 notation "a \cross b" left associative with precedence 50 for @{ 'op $a $b }.
-interpretation "semi lattice base operation" 'op a b = (sl_op _ a b).
+interpretation "semi lattice base operation" 'op a b = (sl_op ? a b).
 
 lemma excess_of_semi_lattice_base: semi_lattice_base → excess.
 intro l;
@@ -80,7 +80,7 @@ record semi_lattice : Type ≝ {
   sl_lem: ∀x,y.(sl_meet x y) ≤ y 
 }.
  
-interpretation "semi lattice meet" 'and a b = (sl_meet _ a b).
+interpretation "semi lattice meet" 'and a b = (sl_meet ? a b).
 
 lemma sl_feq_ml: ∀ml:semi_lattice.∀a,b,c:ml. a ≈ b → (c ∧ a) ≈ (c ∧ b).
 intros (l a b c H); unfold eq in H ⊢ %; unfold Not in H ⊢ %;
@@ -183,7 +183,7 @@ qed.
 definition hole ≝ λT:Type.λx:T.x.
 
 notation < "\ldots" non associative with precedence 50 for @{'hole}.
-interpretation "hole" 'hole = (hole _ _).
+interpretation "hole" 'hole = (hole ? ?).
 
 (* SL(E,M,H2-5(#),H67(≰)) → E' → c E = c E' → H67'(≰') → SL(E,M,p2-5,H67') *)
 lemma subst_excess: 
@@ -438,32 +438,32 @@ notation "'strong_extj'" non associative with precedence 50 for @{'strong_extj}.
 notation "'le_to_eqj'"   non associative with precedence 50 for @{'le_to_eqj}.
 notation "'lej'"         non associative with precedence 50 for @{'lej}.
 
-interpretation "Lattice meet"        'meet        = (sl_meet (latt_mcarr _)).
-interpretation "Lattice meet_refl"   'meet_refl   = (sl_meet_refl (latt_mcarr _)).
-interpretation "Lattice meet_comm"   'meet_comm   = (sl_meet_comm (latt_mcarr _)).
-interpretation "Lattice meet_assoc"  'meet_assoc  = (sl_meet_assoc (latt_mcarr _)).
-interpretation "Lattice strong_extm" 'strong_extm = (sl_strong_extm (latt_mcarr _)).
-interpretation "Lattice le_to_eqm"   'le_to_eqm   = (sl_le_to_eqm (latt_mcarr _)).
-interpretation "Lattice lem"         'lem         = (sl_lem (latt_mcarr _)).
-interpretation "Lattice join"        'join        = (sl_meet (latt_jcarr _)).
-interpretation "Lattice join_refl"   'join_refl   = (sl_meet_refl (latt_jcarr _)).
-interpretation "Lattice join_comm"   'join_comm   = (sl_meet_comm (latt_jcarr _)).
-interpretation "Lattice join_assoc"  'join_assoc  = (sl_meet_assoc (latt_jcarr _)).
-interpretation "Lattice strong_extm" 'strong_extj = (sl_strong_extm (latt_jcarr _)).
-interpretation "Lattice le_to_eqj"   'le_to_eqj   = (sl_le_to_eqm (latt_jcarr _)).
-interpretation "Lattice lej"         'lej         = (sl_lem (latt_jcarr _)).
+interpretation "Lattice meet"        'meet        = (sl_meet (latt_mcarr ?)).
+interpretation "Lattice meet_refl"   'meet_refl   = (sl_meet_refl (latt_mcarr ?)).
+interpretation "Lattice meet_comm"   'meet_comm   = (sl_meet_comm (latt_mcarr ?)).
+interpretation "Lattice meet_assoc"  'meet_assoc  = (sl_meet_assoc (latt_mcarr ?)).
+interpretation "Lattice strong_extm" 'strong_extm = (sl_strong_extm (latt_mcarr ?)).
+interpretation "Lattice le_to_eqm"   'le_to_eqm   = (sl_le_to_eqm (latt_mcarr ?)).
+interpretation "Lattice lem"         'lem         = (sl_lem (latt_mcarr ?)).
+interpretation "Lattice join"        'join        = (sl_meet (latt_jcarr ?)).
+interpretation "Lattice join_refl"   'join_refl   = (sl_meet_refl (latt_jcarr ?)).
+interpretation "Lattice join_comm"   'join_comm   = (sl_meet_comm (latt_jcarr ?)).
+interpretation "Lattice join_assoc"  'join_assoc  = (sl_meet_assoc (latt_jcarr ?)).
+interpretation "Lattice strong_extm" 'strong_extj = (sl_strong_extm (latt_jcarr ?)).
+interpretation "Lattice le_to_eqj"   'le_to_eqj   = (sl_le_to_eqm (latt_jcarr ?)).
+interpretation "Lattice lej"         'lej         = (sl_lem (latt_jcarr ?)).
 
 notation "'feq_jl'" non associative with precedence 50 for @{'feq_jl}.
 notation "'feq_jr'" non associative with precedence 50 for @{'feq_jr}.
 notation "'feq_ml'" non associative with precedence 50 for @{'feq_ml}.
 notation "'feq_mr'" non associative with precedence 50 for @{'feq_mr}.
-interpretation "Lattice feq_jl" 'feq_jl = (sl_feq_ml (latt_jcarr _)).
-interpretation "Lattice feq_jr" 'feq_jr = (sl_feq_mr (latt_jcarr _)).
-interpretation "Lattice feq_ml" 'feq_ml = (sl_feq_ml (latt_mcarr _)).
-interpretation "Lattice feq_mr" 'feq_mr = (sl_feq_mr (latt_mcarr _)).
+interpretation "Lattice feq_jl" 'feq_jl = (sl_feq_ml (latt_jcarr ?)).
+interpretation "Lattice feq_jr" 'feq_jr = (sl_feq_mr (latt_jcarr ?)).
+interpretation "Lattice feq_ml" 'feq_ml = (sl_feq_ml (latt_mcarr ?)).
+interpretation "Lattice feq_mr" 'feq_mr = (sl_feq_mr (latt_mcarr ?)).
 
 
-interpretation "Lattive meet le" 'leq a b = (le (excess_OF_lattice1 _) a b).
+interpretation "Lattive meet le" 'leq a b = (le (excess_OF_lattice1 ?) a b).
 
 interpretation "Lattive join le (aka ge)" 'geq a b =
  (le (excess_OF_lattice _) a b).