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capitalize all type names #175

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68cffb2
capitalize all type names
fblanqui Feb 21, 2025
3587f8f
Merge branch 'main' into capital
fblanqui Mar 6, 2025
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40 changes: 20 additions & 20 deletions With_N.lp
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Original file line number Diff line number Diff line change
Expand Up @@ -62,7 +62,7 @@ builtin "fun_ext" ≔ fun_ext;
builtin "prop_ext" ≔ prop_ext;

// unit type
builtin "unit" ≔ unit;
builtin "unit" ≔ Unit;
builtin "tt" ≔ one;
builtin "one_def" ≔ one_def;
builtin "one_ABS" ≔ one_ABS;
Expand All @@ -72,7 +72,7 @@ builtin "axiom_3" ≔ axiom_3;

// product type
builtin "mk_pair" ≔ mk_pair;
builtin "prod" ≔ prod;
builtin "prod" ≔ Prod;
builtin "ABS_prod" ≔ ABS_prod;
builtin "REP_prod" ≔ REP_prod;
builtin "axiom_4" ≔ axiom_4;
Expand All @@ -85,15 +85,15 @@ builtin "snd" ≔ SND;
builtin "SND_def" ≔ SND_def;

// infinite type ind
builtin "ind" ≔ ind;
builtin "ind" ≔ Ind;
builtin "ONE_ONE" ≔ ONE_ONE;
builtin "ONTO" ≔ ONTO;
builtin "axiom_6" ≔ axiom_6;
builtin "IND_SUC" ≔ IND_SUC;
builtin "IND_0" ≔ IND_0;

// type of natural numbers
builtin "N" ≔ num;
builtin "N" ≔ Num;
builtin "0%N" ≔ _0;
builtin "N.succ" ≔ SUC;
builtin "mk_num" ≔ mk_num;
Expand Down Expand Up @@ -149,12 +149,12 @@ builtin "NUMRIGHT" ≔ NUMRIGHT; // not mandatory
builtin "NUMRIGHT_def" ≔ NUMRIGHT_def; // not mandatory
builtin "ZRECSPACE" ≔ ZRECSPACE;
builtin "ZRECSPACE_def" ≔ ZRECSPACE_def;
builtin "recspace" ≔ recspace;
builtin "recspace" ≔ Recspace;
builtin "_mk_rec" ≔ _mk_rec;
builtin "_dest_rec" ≔ _dest_rec;
builtin "axiom_9" ≔ axiom_9;
builtin "axiom_10" ≔ axiom_10;
builtin "option" ≔ option;
builtin "option" ≔ Option;
builtin "_mk_option" ≔ _mk_option;
builtin "_dest_option" ≔ _dest_option;
builtin "axiom_13" ≔ axiom_13;
Expand All @@ -174,7 +174,7 @@ builtin "inr" ≔ INR;
builtin "INR_def" ≔ INR_def;

// lists
builtin "list" ≔ list;
builtin "list" ≔ List;
builtin "FCONS" ≔ FCONS;
builtin "FCONS_def" ≔ FCONS_def;
builtin "_dest_list" ≔ _dest_list;
Expand Down Expand Up @@ -215,7 +215,7 @@ builtin "tl" ≔ TL;
builtin "TL_def" ≔ TL_def;
//builtin "EL" ≔ EL;
//builtin "EL_def" ≔ EL_def;
builtin "Ascii.ascii" ≔ char;
builtin "Ascii.ascii" ≔ Char;
builtin "_dest_char" ≔ _dest_char;
builtin "_mk_char" ≔ _mk_char;
builtin "axiom_17" ≔ axiom_17;
Expand All @@ -224,7 +224,7 @@ builtin "axiom_18" ≔ axiom_18;
// realax
builtin "dist" ≔ dist;
builtin "is_nadd" ≔ is_nadd;
builtin "nadd" ≔ nadd;
builtin "nadd" ≔ Nadd;
builtin "dest_nadd" ≔ dest_nadd;
builtin "mk_nadd" ≔ mk_nadd;
builtin "axiom_19" ≔ axiom_19;
Expand All @@ -238,7 +238,7 @@ builtin "nadd_mul" ≔ nadd_mul;
builtin "nadd_rinv" ≔ nadd_rinv;
builtin "nadd_inv" ≔ nadd_inv;

builtin "hreal" ≔ hreal;
builtin "hreal" ≔ Hreal;
builtin "mk_hreal" ≔ mk_hreal;
builtin "dest_hreal" ≔ dest_hreal;
builtin "axiom_21" ≔ axiom_21;
Expand Down Expand Up @@ -300,7 +300,7 @@ builtin "Rmod_eq" ≔ real_mod;
builtin "real_mod_def" ≔ real_mod_def;

// integers
builtin "Z" ≔ int;
builtin "Z" ≔ Int;
builtin "IZR" ≔ real_of_int;
builtin "int_of_real" ≔ int_of_real;
builtin "axiom_25" ≔ axiom_25;
Expand Down Expand Up @@ -347,56 +347,56 @@ builtin "int_lcm" ≔ int_lcm;
builtin "int_lcm_def" ≔ int_lcm_def;

// finite_image
builtin "finite_image" ≔ finite_image;
builtin "finite_image" ≔ Finite_image;
builtin "finite_index" ≔ finite_index;
builtin "dest_finite_image" ≔ dest_finite_image;
builtin "axiom_27" ≔ axiom_27;
builtin "axiom_28" ≔ axiom_28;

// cart
builtin "cart" ≔ cart;
builtin "cart" ≔ Cart;
builtin "mk_cart" ≔ mk_cart;
builtin "dest_cart" ≔ dest_cart;
builtin "axiom_29" ≔ axiom_29;
builtin "axiom_30" ≔ axiom_30;

// finite_sum
builtin "finite_sum" ≔ finite_sum;
builtin "finite_sum" ≔ Finite_sum;
builtin "mk_finite_sum" ≔ mk_finite_sum;
builtin "dest_finite_sum" ≔ dest_finite_sum;
builtin "axiom_31" ≔ axiom_31;
builtin "axiom_32" ≔ axiom_32;

// finite_diff
builtin "finite_diff" ≔ finite_diff;
builtin "finite_diff" ≔ Finite_diff;
builtin "mk_finite_diff" ≔ mk_finite_diff;
builtin "dest_finite_diff" ≔ dest_finite_diff;
builtin "axiom_33" ≔ axiom_33;
builtin "axiom_34" ≔ axiom_34;

// finite_prod
builtin "finite_prod" ≔ finite_prod;
builtin "finite_prod" ≔ Finite_prod;
builtin "mk_finite_prod" ≔ mk_finite_prod;
builtin "dest_finite_prod" ≔ dest_finite_prod;
builtin "axiom_35" ≔ axiom_35;
builtin "axiom_36" ≔ axiom_36;

// tybit0
builtin "tybit0" ≔ tybit0;
builtin "tybit0" ≔ Tybit0;
builtin "_mk_tybit0" ≔ _mk_tybit0;
builtin "_dest_tybit0" ≔ _dest_tybit0;
builtin "axiom_37" ≔ axiom_37;
builtin "axiom_38" ≔ axiom_38;

// tybit1
builtin "tybit1" ≔ tybit1;
builtin "tybit1" ≔ Tybit1;
builtin "_mk_tybit1" ≔ _mk_tybit1;
builtin "_dest_tybit1" ≔ _dest_tybit1;
builtin "axiom_39" ≔ axiom_39;
builtin "axiom_40" ≔ axiom_40;

// frag
builtin "frag" ≔ frag;
builtin "frag" ≔ Frag;
builtin "mk_frag" ≔ mk_frag;
builtin "dest_frag" ≔ dest_frag;
builtin "axiom_41" ≔ axiom_41;
Expand Down Expand Up @@ -424,7 +424,7 @@ builtin "axiom_47" ≔ axiom_47;
builtin "axiom_48" ≔ axiom_48;

// net
builtin "net" ≔ net;
builtin "net" ≔ Net;
builtin "mk_net" ≔ mk_net;
builtin "dest_net" ≔ dest_net;
builtin "axiom_49" ≔ axiom_49;
Expand Down
40 changes: 20 additions & 20 deletions With_nat.lp
View file
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Original file line number Diff line number Diff line change
Expand Up @@ -62,7 +62,7 @@ builtin "fun_ext" ≔ fun_ext;
builtin "prop_ext" ≔ prop_ext;

// unit type
builtin "unit" ≔ unit;
builtin "unit" ≔ Unit;
builtin "tt" ≔ one;
builtin "one_def" ≔ one_def;
builtin "one_ABS" ≔ one_ABS;
Expand All @@ -72,7 +72,7 @@ builtin "axiom_3" ≔ axiom_3;

// product type
builtin "mk_pair" ≔ mk_pair;
builtin "prod" ≔ prod;
builtin "prod" ≔ Prod;
builtin "ABS_prod" ≔ ABS_prod;
builtin "REP_prod" ≔ REP_prod;
builtin "axiom_4" ≔ axiom_4;
Expand All @@ -85,15 +85,15 @@ builtin "snd" ≔ SND;
builtin "SND_def" ≔ SND_def;

// infinite type ind
builtin "ind" ≔ ind;
builtin "ind" ≔ Ind;
builtin "ONE_ONE" ≔ ONE_ONE;
builtin "ONTO" ≔ ONTO;
builtin "axiom_6" ≔ axiom_6;
builtin "IND_SUC" ≔ IND_SUC;
builtin "IND_0" ≔ IND_0;

// type of natural numbers
builtin "nat" ≔ num;
builtin "nat" ≔ Num;
builtin "0" ≔ _0;
builtin "S" ≔ SUC;
builtin "mk_num" ≔ mk_num;
Expand Down Expand Up @@ -149,12 +149,12 @@ builtin "NUMRIGHT" ≔ NUMRIGHT; // not mandatory
builtin "NUMRIGHT_def" ≔ NUMRIGHT_def; // not mandatory
builtin "ZRECSPACE" ≔ ZRECSPACE;
builtin "ZRECSPACE_def" ≔ ZRECSPACE_def;
builtin "recspace" ≔ recspace;
builtin "recspace" ≔ Recspace;
builtin "_mk_rec" ≔ _mk_rec;
builtin "_dest_rec" ≔ _dest_rec;
builtin "axiom_9" ≔ axiom_9;
builtin "axiom_10" ≔ axiom_10;
builtin "option" ≔ option;
builtin "option" ≔ Option;
builtin "_mk_option" ≔ _mk_option;
builtin "_dest_option" ≔ _dest_option;
builtin "axiom_13" ≔ axiom_13;
Expand All @@ -174,7 +174,7 @@ builtin "inr" ≔ INR;
builtin "INR_def" ≔ INR_def;

// lists
builtin "list" ≔ list;
builtin "list" ≔ List;
builtin "FCONS" ≔ FCONS;
builtin "FCONS_def" ≔ FCONS_def;
builtin "_dest_list" ≔ _dest_list;
Expand Down Expand Up @@ -215,7 +215,7 @@ builtin "tl" ≔ TL;
builtin "TL_def" ≔ TL_def;
//builtin "EL" ≔ EL;
//builtin "EL_def" ≔ EL_def;
builtin "Ascii.ascii" ≔ char;
builtin "Ascii.ascii" ≔ Char;
builtin "_dest_char" ≔ _dest_char;
builtin "_mk_char" ≔ _mk_char;
builtin "axiom_17" ≔ axiom_17;
Expand All @@ -224,7 +224,7 @@ builtin "axiom_18" ≔ axiom_18;
// realax
builtin "dist" ≔ dist;
builtin "is_nadd" ≔ is_nadd;
builtin "nadd" ≔ nadd;
builtin "nadd" ≔ Nadd;
builtin "dest_nadd" ≔ dest_nadd;
builtin "mk_nadd" ≔ mk_nadd;
builtin "axiom_19" ≔ axiom_19;
Expand All @@ -238,7 +238,7 @@ builtin "nadd_mul" ≔ nadd_mul;
builtin "nadd_rinv" ≔ nadd_rinv;
builtin "nadd_inv" ≔ nadd_inv;

builtin "hreal" ≔ hreal;
builtin "hreal" ≔ Hreal;
builtin "mk_hreal" ≔ mk_hreal;
builtin "dest_hreal" ≔ dest_hreal;
builtin "axiom_21" ≔ axiom_21;
Expand Down Expand Up @@ -296,7 +296,7 @@ builtin "Rmin" ≔ real_min;
builtin "real_min_def" ≔ real_min_def;

// integers
builtin "Z" ≔ int;
builtin "Z" ≔ Int;
builtin "IZR" ≔ real_of_int;
builtin "int_of_real" ≔ int_of_real;
builtin "axiom_25" ≔ axiom_25;
Expand All @@ -307,56 +307,56 @@ builtin "Z.of_nat" ≔ int_of_num;
builtin "int_of_num_def" ≔ int_of_num_def;

// finite_image
builtin "finite_image" ≔ finite_image;
builtin "finite_image" ≔ Finite_image;
builtin "finite_index" ≔ finite_index;
builtin "dest_finite_image" ≔ dest_finite_image;
builtin "axiom_27" ≔ axiom_27;
builtin "axiom_28" ≔ axiom_28;

// cart
builtin "cart" ≔ cart;
builtin "cart" ≔ Cart;
builtin "mk_cart" ≔ mk_cart;
builtin "dest_cart" ≔ dest_cart;
builtin "axiom_29" ≔ axiom_29;
builtin "axiom_30" ≔ axiom_30;

// finite_sum
builtin "finite_sum" ≔ finite_sum;
builtin "finite_sum" ≔ Finite_sum;
builtin "mk_finite_sum" ≔ mk_finite_sum;
builtin "dest_finite_sum" ≔ dest_finite_sum;
builtin "axiom_31" ≔ axiom_31;
builtin "axiom_32" ≔ axiom_32;

// finite_diff
builtin "finite_diff" ≔ finite_diff;
builtin "finite_diff" ≔ Finite_diff;
builtin "mk_finite_diff" ≔ mk_finite_diff;
builtin "dest_finite_diff" ≔ dest_finite_diff;
builtin "axiom_33" ≔ axiom_33;
builtin "axiom_34" ≔ axiom_34;

// finite_prod
builtin "finite_prod" ≔ finite_prod;
builtin "finite_prod" ≔ Finite_prod;
builtin "mk_finite_prod" ≔ mk_finite_prod;
builtin "dest_finite_prod" ≔ dest_finite_prod;
builtin "axiom_35" ≔ axiom_35;
builtin "axiom_36" ≔ axiom_36;

// tybit0
builtin "tybit0" ≔ tybit0;
builtin "tybit0" ≔ Tybit0;
builtin "_mk_tybit0" ≔ _mk_tybit0;
builtin "_dest_tybit0" ≔ _dest_tybit0;
builtin "axiom_37" ≔ axiom_37;
builtin "axiom_38" ≔ axiom_38;

// tybit1
builtin "tybit1" ≔ tybit1;
builtin "tybit1" ≔ Tybit1;
builtin "_mk_tybit1" ≔ _mk_tybit1;
builtin "_dest_tybit1" ≔ _dest_tybit1;
builtin "axiom_39" ≔ axiom_39;
builtin "axiom_40" ≔ axiom_40;

// frag
builtin "frag" ≔ frag;
builtin "frag" ≔ Frag;
builtin "mk_frag" ≔ mk_frag;
builtin "dest_frag" ≔ dest_frag;
builtin "axiom_41" ≔ axiom_41;
Expand Down Expand Up @@ -384,7 +384,7 @@ builtin "axiom_47" ≔ axiom_47;
builtin "axiom_48" ≔ axiom_48;

// net
builtin "net" ≔ net;
builtin "net" ≔ Net;
builtin "mk_net" ≔ mk_net;
builtin "dest_net" ≔ dest_net;
builtin "axiom_49" ≔ axiom_49;
Expand Down
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