Global Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (154 entries)
Notation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (14 entries)
Module Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (2 entries)
Library Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (6 entries)
Lemma Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (62 entries)
Constructor Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (33 entries)
Axiom Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (9 entries)
Inductive Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (10 entries)
Definition Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (18 entries)

Global Index

A

alpha [definition, in Top.IE_Property]
Ax1 [axiom, in Top.Sn_Axiomatic]
Ax2 [axiom, in Top.Sn_Axiomatic]
Ax2_bisl [lemma, in Top.Sn_Axiomatic]
Ax2_stars_eta [lemma, in Top.Sn_Axiomatic]
Ax2_stars_sn [lemma, in Top.Sn_Axiomatic]
Ax2_stars [axiom, in Top.Sn_Axiomatic]


B

build_list [definition, in Top.list_subst]


C

commut_lift_subst [lemma, in Top.Terme]
commut_lift_subst_rec [lemma, in Top.Terme]
commut_lift_subst_list [lemma, in Top.list_subst]
commut_lift_subst_list_aux [lemma, in Top.list_subst]


D

DB [constructor, in Top.reduction]
db [inductive, in Top.reduction]
db_to_list_substT [lemma, in Top.reduction]
db_to_subst [lemma, in Top.reduction]
DB_App [constructor, in Top.reduction]
DB_Lam [constructor, in Top.reduction]


E

equiv [library]
eta [axiom, in Top.Sn_Axiomatic]
eta_subst_eq [axiom, in Top.Sn_Axiomatic]


F

free_lift [lemma, in Top.Terme]
fv [definition, in Top.list_subst]
fv_rec [definition, in Top.list_subst]
f_cp [definition, in Top.IE_Property]


G

GC [constructor, in Top.reduction]
gc [inductive, in Top.reduction]
gc_to_list_substT [lemma, in Top.reduction]
gc_to_subst [lemma, in Top.reduction]
GC_Term [constructor, in Top.reduction]


I

IEProp [lemma, in Top.IE_Property]
IE_Property [library]
is_free [definition, in Top.Terme]


L

lemme1 [lemma, in Top.reduction]
lemme2 [lemma, in Top.reduction]
lemme2' [lemma, in Top.reduction]
lex [inductive, in Top.IE_Property]
lift [definition, in Top.Terme]
lift_commut_of_succ [lemma, in Top.Terme]
lift_commut [lemma, in Top.Terme]
lift_var_lt [lemma, in Top.Terme]
lift_var_ge [lemma, in Top.Terme]
lift_rec0 [lemma, in Top.Terme]
lift_rec [definition, in Top.Terme]
lift_subst [lemma, in Top.list_subst]
lift0 [lemma, in Top.Terme]
list_substT [definition, in Top.list_subst]
list_substV [definition, in Top.list_subst]
list_subst [library]
LS [constructor, in Top.reduction]
ls [definition, in Top.reduction]
LSA [constructor, in Top.reduction]
lsa [inductive, in Top.reduction]
lsa_red [lemma, in Top.equiv]
lsa_red' [lemma, in Top.equiv]
lsa_Hyp1 [lemma, in Top.equiv]
LSA_RET [constructor, in Top.equiv]
lsa_ret [inductive, in Top.equiv]
LSA_SubInt1 [constructor, in Top.equiv]
LSA_SubExt1 [constructor, in Top.equiv]
LSA_AppRight1 [constructor, in Top.equiv]
LSA_AppLeft1 [constructor, in Top.equiv]
LSA_Lam1 [constructor, in Top.equiv]
LSA_Var1 [constructor, in Top.equiv]
lsa_d_ret [inductive, in Top.equiv]
lsa_to_list_substT [lemma, in Top.reduction]
lsa_to_subst [lemma, in Top.reduction]
lsa_Hyp [lemma, in Top.reduction]
LSA_SubInt [constructor, in Top.reduction]
LSA_SubExt [constructor, in Top.reduction]
LSA_AppRight [constructor, in Top.reduction]
LSA_AppLeft [constructor, in Top.reduction]
LSA_Lam [constructor, in Top.reduction]
LSA_Var [constructor, in Top.reduction]
lsa_def [inductive, in Top.reduction]
ls_equivalence [lemma, in Top.equiv]
ls_to_list_subst [lemma, in Top.reduction]
ls_to_subst [lemma, in Top.reduction]
lt_G [constructor, in Top.IE_Property]
lt_L [constructor, in Top.IE_Property]


N

NatOrderInv [module, in Top.list_subst]
NatOrderInv.leb [definition, in Top.list_subst]
NatOrderInv.leb_total [lemma, in Top.list_subst]
NatOrderInv.t [definition, in Top.list_subst]
_ <=? _ [notation, in Top.list_subst]
NatSort [module, in Top.list_subst]
no_subst_gen [lemma, in Top.equiv]
no_occ_of_x [lemma, in Top.Terme]
num_occ [definition, in Top.Terme]


O

One_step_ls [lemma, in Top.IE_Property]


R

red [inductive, in Top.reduction]
RedContextSubExt [constructor, in Top.reduction]
RedContextSubInt [constructor, in Top.reduction]
RedContextTAbs [constructor, in Top.reduction]
RedContextTAppLeft [constructor, in Top.reduction]
RedContextTAppRight [constructor, in Top.reduction]
reduction [library]
red_to_list_substT [lemma, in Top.reduction]
red_sub [lemma, in Top.reduction]
red_app [lemma, in Top.reduction]
red_star_RedContextSubInt [lemma, in Top.reduction]
red_star_RedContextSubExt [lemma, in Top.reduction]
red_star_RedContextTAppRight [lemma, in Top.reduction]
red_star_RedContextTAppLeft [lemma, in Top.reduction]
red_star_ContextTAbs [lemma, in Top.reduction]
red_star_gc [lemma, in Top.reduction]
red_star_ls [lemma, in Top.reduction]
red_star_db [lemma, in Top.reduction]
red_to_star [lemma, in Top.reduction]
red_star_step [constructor, in Top.reduction]
red_star_eq [constructor, in Top.reduction]
red_star [inductive, in Top.reduction]
renommage [axiom, in Top.Sn_Axiomatic]
renommage_subst [axiom, in Top.Sn_Axiomatic]


S

shift [definition, in Top.Terme]
shift_commut [lemma, in Top.Terme]
shift_subst [lemma, in Top.list_subst]
simpl_lift [lemma, in Top.Terme]
simpl_lift_rec [lemma, in Top.Terme]
sn [axiom, in Top.Sn_Axiomatic]
SN [definition, in Top.Sn_Axiomatic]
sn_and_eta [lemma, in Top.Sn_Axiomatic]
sn_ind [axiom, in Top.IE_Property]
Sn_Axiomatic [library]
substFree_eq [lemma, in Top.Terme]
subst_var_diff [lemma, in Top.Terme]
subst_nothing [lemma, in Top.Terme]
subst_nothing' [lemma, in Top.Terme]
subst_rec [definition, in Top.Terme]
subst_var_eta [lemma, in Top.IE_Property]
subst_var_0_eta [lemma, in Top.IE_Property]
subs_recbis [definition, in Top.Terme]


T

TAbs [constructor, in Top.Terme]
TApp [constructor, in Top.Terme]
term [inductive, in Top.Terme]
Terme [library]
Th2 [lemma, in Top.Sn_Axiomatic]
Th3 [lemma, in Top.Sn_Axiomatic]
TSub [constructor, in Top.Terme]
TVar [constructor, in Top.Terme]


V

var_occ [lemma, in Top.Terme]


other

_ -->* _ [notation, in Top.reduction]
_ --> _ [notation, in Top.reduction]
_ -->gc _ [notation, in Top.reduction]
_ -->ls _ [notation, in Top.reduction]
_ -->db _ [notation, in Top.reduction]
_ =? _ [notation, in Top.Sn_Axiomatic]
_ { _ := _ } [notation, in Top.Terme]
_ @ _ [notation, in Top.Terme]
_ [ _ ] [notation, in Top.Terme]
_ [notation, in Top.IE_Property]
[ _ ; .. ; _ ] [notation, in Top.list_subst]
[ ] [notation, in Top.list_subst]
\ [notation, in Top.Terme]



Notation Index

N

_ <=? _ [in Top.list_subst]


other

_ -->* _ [in Top.reduction]
_ --> _ [in Top.reduction]
_ -->gc _ [in Top.reduction]
_ -->ls _ [in Top.reduction]
_ -->db _ [in Top.reduction]
_ =? _ [in Top.Sn_Axiomatic]
_ { _ := _ } [in Top.Terme]
_ @ _ [in Top.Terme]
_ [ _ ] [in Top.Terme]
_ [in Top.IE_Property]
[ _ ; .. ; _ ] [in Top.list_subst]
[ ] [in Top.list_subst]
\ [in Top.Terme]



Module Index

N

NatOrderInv [in Top.list_subst]
NatSort [in Top.list_subst]



Library Index

E

equiv


I

IE_Property


L

list_subst


R

reduction


S

Sn_Axiomatic


T

Terme



Lemma Index

A

Ax2_bisl [in Top.Sn_Axiomatic]
Ax2_stars_eta [in Top.Sn_Axiomatic]
Ax2_stars_sn [in Top.Sn_Axiomatic]


C

commut_lift_subst [in Top.Terme]
commut_lift_subst_rec [in Top.Terme]
commut_lift_subst_list [in Top.list_subst]
commut_lift_subst_list_aux [in Top.list_subst]


D

db_to_list_substT [in Top.reduction]
db_to_subst [in Top.reduction]


F

free_lift [in Top.Terme]


G

gc_to_list_substT [in Top.reduction]
gc_to_subst [in Top.reduction]


I

IEProp [in Top.IE_Property]


L

lemme1 [in Top.reduction]
lemme2 [in Top.reduction]
lemme2' [in Top.reduction]
lift_commut_of_succ [in Top.Terme]
lift_commut [in Top.Terme]
lift_var_lt [in Top.Terme]
lift_var_ge [in Top.Terme]
lift_rec0 [in Top.Terme]
lift_subst [in Top.list_subst]
lift0 [in Top.Terme]
lsa_red [in Top.equiv]
lsa_red' [in Top.equiv]
lsa_Hyp1 [in Top.equiv]
lsa_to_list_substT [in Top.reduction]
lsa_to_subst [in Top.reduction]
lsa_Hyp [in Top.reduction]
ls_equivalence [in Top.equiv]
ls_to_list_subst [in Top.reduction]
ls_to_subst [in Top.reduction]


N

NatOrderInv.leb_total [in Top.list_subst]
no_subst_gen [in Top.equiv]
no_occ_of_x [in Top.Terme]


O

One_step_ls [in Top.IE_Property]


R

red_to_list_substT [in Top.reduction]
red_sub [in Top.reduction]
red_app [in Top.reduction]
red_star_RedContextSubInt [in Top.reduction]
red_star_RedContextSubExt [in Top.reduction]
red_star_RedContextTAppRight [in Top.reduction]
red_star_RedContextTAppLeft [in Top.reduction]
red_star_ContextTAbs [in Top.reduction]
red_star_gc [in Top.reduction]
red_star_ls [in Top.reduction]
red_star_db [in Top.reduction]
red_to_star [in Top.reduction]


S

shift_commut [in Top.Terme]
shift_subst [in Top.list_subst]
simpl_lift [in Top.Terme]
simpl_lift_rec [in Top.Terme]
sn_and_eta [in Top.Sn_Axiomatic]
substFree_eq [in Top.Terme]
subst_var_diff [in Top.Terme]
subst_nothing [in Top.Terme]
subst_nothing' [in Top.Terme]
subst_var_eta [in Top.IE_Property]
subst_var_0_eta [in Top.IE_Property]


T

Th2 [in Top.Sn_Axiomatic]
Th3 [in Top.Sn_Axiomatic]


V

var_occ [in Top.Terme]



Constructor Index

D

DB [in Top.reduction]
DB_App [in Top.reduction]
DB_Lam [in Top.reduction]


G

GC [in Top.reduction]
GC_Term [in Top.reduction]


L

LS [in Top.reduction]
LSA [in Top.reduction]
LSA_RET [in Top.equiv]
LSA_SubInt1 [in Top.equiv]
LSA_SubExt1 [in Top.equiv]
LSA_AppRight1 [in Top.equiv]
LSA_AppLeft1 [in Top.equiv]
LSA_Lam1 [in Top.equiv]
LSA_Var1 [in Top.equiv]
LSA_SubInt [in Top.reduction]
LSA_SubExt [in Top.reduction]
LSA_AppRight [in Top.reduction]
LSA_AppLeft [in Top.reduction]
LSA_Lam [in Top.reduction]
LSA_Var [in Top.reduction]
lt_G [in Top.IE_Property]
lt_L [in Top.IE_Property]


R

RedContextSubExt [in Top.reduction]
RedContextSubInt [in Top.reduction]
RedContextTAbs [in Top.reduction]
RedContextTAppLeft [in Top.reduction]
RedContextTAppRight [in Top.reduction]
red_star_step [in Top.reduction]
red_star_eq [in Top.reduction]


T

TAbs [in Top.Terme]
TApp [in Top.Terme]
TSub [in Top.Terme]
TVar [in Top.Terme]



Axiom Index

A

Ax1 [in Top.Sn_Axiomatic]
Ax2 [in Top.Sn_Axiomatic]
Ax2_stars [in Top.Sn_Axiomatic]


E

eta [in Top.Sn_Axiomatic]
eta_subst_eq [in Top.Sn_Axiomatic]


R

renommage [in Top.Sn_Axiomatic]
renommage_subst [in Top.Sn_Axiomatic]


S

sn [in Top.Sn_Axiomatic]
sn_ind [in Top.IE_Property]



Inductive Index

D

db [in Top.reduction]


G

gc [in Top.reduction]


L

lex [in Top.IE_Property]
lsa [in Top.reduction]
lsa_ret [in Top.equiv]
lsa_d_ret [in Top.equiv]
lsa_def [in Top.reduction]


R

red [in Top.reduction]
red_star [in Top.reduction]


T

term [in Top.Terme]



Definition Index

A

alpha [in Top.IE_Property]


B

build_list [in Top.list_subst]


F

fv [in Top.list_subst]
fv_rec [in Top.list_subst]
f_cp [in Top.IE_Property]


I

is_free [in Top.Terme]


L

lift [in Top.Terme]
lift_rec [in Top.Terme]
list_substT [in Top.list_subst]
list_substV [in Top.list_subst]
ls [in Top.reduction]


N

NatOrderInv.leb [in Top.list_subst]
NatOrderInv.t [in Top.list_subst]
num_occ [in Top.Terme]


S

shift [in Top.Terme]
SN [in Top.Sn_Axiomatic]
subst_rec [in Top.Terme]
subs_recbis [in Top.Terme]



Global Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (154 entries)
Notation Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (14 entries)
Module Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (2 entries)
Library Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (6 entries)
Lemma Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (62 entries)
Constructor Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (33 entries)
Axiom Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (9 entries)
Inductive Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (10 entries)
Definition Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _ other (18 entries)

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