}
]
class "water"
- [ { "generic rt-transition counter" * } {
+ [ { "generic rt-transition counters" * } {
[ { "" * } {
[ "rtc_ist ( ๐โช?,?โซ )" "rtc_ist_shift" "rtc_ist_plus" "rtc_ist_max" * ]
- [ "rtc_isrc ( ๐๐โช?,?โซ )" "rtc_isrt_shift" "rtc_isrt_plus" "rtc_isrt_max" "rtc_isrt_max_shift" * ]
+ [ "rtc_ism ( ๐โช?,?โซ )" "rtc_ism_shift" "rtc_ism_plus" "rtc_ism_max" "rtc_ism_max_shift" * ]
[ "rtc ( โฉ?,?,?,?โช ) ( ๐๐ ) ( ๐๐ ) ( ๐๐ )" "rtc_shift ( โ*? )" "rtc_plus ( ? + ? )" "rtc_max ( ? โจ ? )" "rtc_max_shift" * ]
}
]
}
]
class "green"
- [ { "multiple relocation" * } {
+ [ { "relocation maps" * } {
+ [ { "finite relocation with pairs" * } {
+ [ "fr2_nat ( @โช?,?โซ โ ? )" "fr2_nat_nat" * ]
+ [ "fr2_minus ( ? โญ ? โ ? )" * ]
+ [ "fr2_append ( ?@@? )" * ]
+ [ "fr2_plus ( ?+? )" * ]
+ [ "fr2_map ( โ ) ( โจ?,?โฉ;? )" * ]
+ }
+ ]
+ [ { "partial relocation" * } {
+ [ "pr_sor ( ? โ ? โ ? )" "pr_sor_eq" "pr_sor_tls" "pr_sor_isi" "pr_sor_fcla" "pr_sor_isf" "pr_sor_coafter_ist_isf" "pr_sor_sle" "pr_sor_sor" "pr_sor_sor_sle" * ]
+ [ "pr_sand ( ? โ ? โ ? )" "pr_sand_eq" * ]
+ [ "pr_sdj ( ? โฅ ? )" "pr_sdj_eq" "pr_sdj_isi" * ]
+ [ "pr_sle ( ? โ ? )" "pr_sle_eq" "pr_sle_pushs" "pr_sle_tls" "pr_sle_isi" "pr_sle_isd" "pr_sle_sle" * ]
+ [ "pr_coafter ( ? ~โ ? โ ? )" "pr_coafter_eq" "pr_coafter_uni_pushs" "pr_coafter_pat_tls" "pr_coafter_nat_tls" "pr_coafter_nat_tls_pushs" "pr_coafter_isi" "pr_coafter_isu" "pr_coafter_ist_isi" "pr_coafter_ist_isf" "pr_coafter_coafter" "pr_coafter_coafter_ist" * ]
+ [ "pr_after ( ? โ ? โ ? )" "pr_after_eq" "pr_after_uni" "pr_after_basic" "pr_after_pat" "pr_after_pat_tls" "pr_after_pat_uni_tls" "pr_after_nat_uni_tls" "pr_after_isi" "pr_after_isu" "pr_after_ist" "pr_after_ist_isi" "pr_after_after" "pr_after_after_ist" * ]
+ [ "pr_isd ( ๐โช?โซ )" "pr_isd_eq" "pr_isd_tl" "pr_isd_nexts" "pr_isd_tls" * ]
+ [ "pr_ist ( ๐โช?โซ )" "pr_ist_tls" "pr_ist_isi" "pr_ist_ist" * ]
+ [ "pr_isf ( ๐
โช?โซ )" "pr_isf_eq" "pr_isf_tl" "pr_isf_pushs" "fr_isf_tls" "pr_ifs_uni" "pr_isf_isu" * ]
+ [ "pr_fcla ( ๐โช?โซ โ ? )" "pr_fcla_eq" "fcla_uni" "pr_fcla_fcla" * ]
+ [ "pr_isu ( ๐โช?โซ )" "pr_isu_tl" "pr_isu_uni" * ]
+ [ "pr_isi ( ๐โช?โซ )" "pr_isi_eq" "pr_isi_tl" "pr_isi_pushs" "pr_isi_tls" "pr_isi_id" "pr_isi_uni" "pr_isi_pat" * ]
+ [ "pr_nat ( @โโช?,?โซ โ ? )" "pr_nat_uni" "pr_nat_basic" "pr_nat_nat" * ]
+ [ "pr_pat ( @โช?,?โซ โ ? )" "pr_pat_lt" "pr_pat_eq" "pr_pat_tls" "pr_pat_id" "pr_pat_uni" "pr_pat_basic" "pr_pat_pat" "pr_pat_pat_id" * ]
+ [ "pr_basic ( ๐โจ?,?โฉ )" * ]
+ [ "pr_uni ( ๐ฎโจ?โฉ )" "pr_uni_eq" * ]
+ [ "pr_id ( ๐ข ) " "pr_id_eq" * ]
+ [ "pr_tls ( โซฐ*[?]? )" "pr_tls_eq" "pr_tls_pushs" "pr_tls_pushs_eq" "pr_tls_nexts_eq" * ]
+ [ "pr_nexts ( โ*[?]? )" "pr_nexts_eq" * ]
+ [ "pr_pushs ( โซฏ*[?]? )" "pr_pushs_eq" * ]
+ [ "pr_tl ( โซฐ? )" "pr_tl_eq" "pr_tl_eq_eq" * ]
+ [ "pr_eq ( ? โก ? )" * ]
+ [ "pr_map ( โซฏ? ) ( โ? )" * ]
+ }
+ ]
+(*
[ { "" * } {
- [ "rtmap" "rtmap_eq ( ? โก ? )" "rtmap_pushs ( โซฏ*[?]? )" "rtmap_nexts ( โ*[?]? )"
- "rtmap_tl ( โซฑ? )" "rtmap_tls ( โซฑ*[?]? )" "rtmap_isid ( ๐โช?โซ )" "rtmap_id" "rtmap_isdiv ( ๐โช?โซ )"
- "rtmap_fcla ( ๐โช?โซ โ ? )" "rtmap_isfin ( ๐
โช?โซ )" "rtmap_isuni ( ๐โช?โซ )" "rtmap_uni ( ๐โจ?โฉ )"
- "rtmap_sle ( ? โ ? )" "rtmap_sdj ( ? โฅ ? )" "rtmap_sand ( ? โ ? โ ? )" "rtmap_sor ( ? โ ? โ ? )"
- "rtmap_at ( @โช?,?โซ โ ? )" "rtmap_istot ( ๐โช?โซ )" "rtmap_after ( ? โ ? โ ? )" "rtmap_coafter ( ? ~โ ? โ ? )"
- "rtmap_basic ( ๐โจ?,?โฉ )" "rtmap_basic_after"
- * ]
[ "nstream ( โซฏ? ) ( โ? )" "nstream_eq" "" ""
- "" "" "nstream_isid" "nstream_id ( รฐ\9d\90\88รฐ\9d\90\9d )" ""
+ "" "" "nstream_isid" "nstream_id ( รฐ\9d\90ยข )" ""
"" "" "" ""
"" "" "" "nstream_sor"
"" "nstream_istot ( ?@โจ?โฉ )" "nstream_after ( ? โ ? )" "nstream_coafter ( ? ~โ ? )"
"nstream_basic" ""
* ]
-(*
[ "trace ( โฅ?โฅ )" "trace_at ( @โช?,?โซ โ ? )" "trace_after ( ? โ ? โ ? )" "trace_isid ( ๐โช?โซ )" "trace_isun ( ๐โช?โซ )"
- "trace_sle ( ? โ ? )" "trace_sor ( ? โ ? โ ? )" "trace_snot ( โ ? )" * ]
-*)
- [ "mr2 ( โ ) ( โจ?,?โฉ;? )" "mr2_append ( ? @@? )" "mr2_at ( @โช?,?โซ โ ? )" "mr2_plus ( ? + ? )" "mr2_minus ( ? โญ ? โ ? )" * ]
+ "trace_sle ( ? โ ? )" "trace_sor ( ? โ ? โ ? )" "trace_snot ( โ ? )"
+ * ]
}
]
+*)
}
]
class "grass"
- [ { "natural numbers with infinity" * } {
- [ { "" * } {
- [ "ynat ( โ )" "ynat_pred ( โ? )" "ynat_succ ( โ? )"
- "ynat_le ( ? โค ? )" "ynat_lt ( ? < ? )"
- "ynat_plus ( ? + ? )" "ynat_minus_sn ( ? - ? )" *
- ]
+ [ { "arithmetics" * } {
+ [ { "extensions" * } {
+ [ "arith_2a ( ๐ )" "arith_2b" * ]
+ }
+ ]
+ [ { "well-founded induction" * } {
+ [ "wf1_ind_ylt" * ]
+ [ "wf1_ind_nlt" "wf2_ind_nlt" "wf3_ind_nlt.ma" * ]
+ }
+ ]
+ [ { "non-negative integers with infinity" * } {
+ [ "ynat_lt ( ?<? )" "ynat_lt_succ" "ynat_lt_pred" "ynat_lt_pred_succ" "ynat_lt_plus" "ynat_lt_plus_pred" "ynat_lt_lminus" "ynat_lt_lminus_plus" "ynat_lt_le" "ynat_lt_le_succ" "ynat_lt_le_pred" "ynat_lt_le_pred_succ" "ynat_lt_le_plus" "ynat_lt_le_lminus" "ynat_lt_le_lminus_plus" * ]
+ [ "ynat_le ( ?โค? )" "ynat_le_succ" "ynat_le_pred" "ynat_le_pred_succ" "ynat_le_plus" "ynat_le_lminus" "ynat_le_lminus_succ" "ynat_le_lminus_plus" * ]
+ [ "ynat_lminus ( ?-? )" "ynat_lminus_succ" "ynat_lminus_plus" * ]
+ [ "ynat_plus ( ?+? )" * ]
+ [ "ynat_pred ( โ? )" "ynat_pred_succ" * ]
+ [ "ynat_succ ( โ? )" * ]
+ [ "ynat ( ๐ ) ( โ )" "ynat_nat" * ]
}
]
- }
- ]
- class "grass"
- [ { "arithmetics" * } {
[ { "non-negative integers" * } {
[ "nat_lt ( ?<? )" "nat_lt_tri" "nat_lt_pred" "nat_lt_plus" "nat_lt_minus" "nat_lt_minus_plus" * ]
[ "nat_le ( ?โค? )" "nat_le_pred" "nat_le_plus" "nat_le_minus" "nat_le_minus_plus" "nat_le_max" * ]
[ "nat_max ( ?โจ? )" * ]
[ "nat_minus ( ?-? )" "nat_minus_plus" * ]
- [ "nat_plus ( ?+? )" * ]
+ [ "nat_plus ( ?+? )" "nat_plus_pred" "nat_plus_rplus" * ]
+ [ "nat_rplus ( ?+? )" "nat_rplus_succ" * ]
[ "nat_pred ( โ? )" "nat_pred_succ" * ]
[ "nat_succ ( โ? )" "nat_succ_iter" "nat_succ_tri" * ]
[ "nat ( ๐ )" "nat_iter ( ?^{?}? )" *"nat_tri" ]
}
]
[ { "positive integers" * } {
+ [ "nat_lt ( ?<? )" "pnat_lt_pred" * ]
+ [ "pnat_le ( ?โค? )" "pnat_le_pred" "pnat_le_plus" * ]
[ "pnat_plus ( ?+? )" * ]
- [ "pnat ( ๐ ) ( โ? )" "pnat_dis" "pnat_iter ( ?^{?}? )" *"pnat_tri" ]
+ [ "nat_pred ( โ? )" * ]
+ [ "pnat ( ๐ ) ( โ? )" "pnat_dis" "pnat_iter ( ?^{?}? )" "pnat_tri" * ]
}
]
}
]
class "yellow"
[ { "extensions to the library" * } {
+ [ { "streams" * } {
+ [ "stream_tls ( โ*{?}[?]? )" "stream_tls_eq" * ]
+ [ "stream_hdtl ( โ{?}? ) ( โ{?}? )" * ]
+ [ "stream_eq ( ? โ{?} ? )" "stream_eq_eq" * ]
+ [ "stream ( ? โจฎ{?} ? )" * ]
+ }
+ ]
[ { "" * } {
- [ "stream ( ? โจฎ{?} ? )" "stream_eq ( ? โ{?} ? )" "stream_hdtl ( โซฐ{?}? )" "stream_tls ( โซฐ*{?}[?]? )" * ]
- [ "list ( โบ{?} ) ( ? โจฎ{?} ? )" "list_length ( |?| )" * ]
- [ "bool ( โป ) ( โ )" "arith ( ?^? ) ( โ? ) ( โ? ) ( ? โจ ? ) ( ? โง ? )" "arith_2a" "arith_2b" * ]
+ [ "list ( โบ{?} ) ( ? โจฎ{?} ? )" "list_eq" "list_length ( |?| )" * ]
+ [ "bool ( โป ) ( โ )" "bool_or" "bool_and" * ]
[ "ltc" "ltc_ctc" * ]
[ "logic ( โฅ ) ( โค )" "relations ( ? โ ? )" "functions" "exteq ( ? โ{?,?} ? )" "star" "lstar_2a" * ]
}
]
class "orange"
[ { "generated library" * } {
- [ { "well-founded induction" * } {
- [ "wf1_ind_nlt" "wf2_ind_nlt" "wf3_ind_nlt.ma" * ]
- }
- ]
[ { "generalization with equality" * } {
[ "insert_eq" * ]
}
projects / helm.git / blobdiff