name "ground_src" table { class "gray" [ { "component" * } { [ { "plane" * } { [ "files" * ] } ] } ] class "water" [ { "generic rt-transition counters" * } { [ { "" * } { [ "rtc_ist ( ๐“โจ?,?โฉ )" "rtc_ist_shift" "rtc_ist_plus" "rtc_ist_max" * ] [ "rtc_ism ( ๐Œโจ?,?โฉ )" "rtc_ism_shift" "rtc_ism_plus" "rtc_ism_max" "rtc_ism_max_shift" * ] [ "rtc ( โŒฉ?,?,?,?โŒช ) ( ๐Ÿ˜๐Ÿ˜ ) ( ๐Ÿ™๐Ÿ˜ ) ( ๐Ÿ˜๐Ÿ™ )" "rtc_shift ( โ†•*? )" "rtc_plus ( ? + ? )" "rtc_max ( ? โˆจ ? )" "rtc_max_shift" * ] } ] } ] class "green" [ { "relocation maps" * } { [ { "finite relocation with pairs" * } { [ "fr2_nat ( ๏ผ โงฃโจ?,?โฉ โ‰˜ ? )" "fr2_nat_nat" * ] [ "fr2_minus ( ? โ–ญ ? โ‰˜ ? )" * ] [ "fr2_append ( ?โ—? )" * ] [ "fr2_plus ( ?+? )" * ] [ "fr2_map ( ๐ž ) ( โจ?,?โฉโ——? )" * ] } ] [ { "total relocation" * } { [ "tr_uni ( ๐ฎโจ?โฉ )" "tr_uni_eq" "tr_uni_hdtl" "tr_uni_tls" "tr_uni_pap" "tr_uni_compose" * ] [ "tr_id ( ๐ข ) " "tr_id_hdtl" "tr_id_pushs" "tr_id_tls" "tr_id_pap" "tr_id_compose" * ] [ "tr_compose ( ?โˆ˜? )" "tr_compose_eq" "tr_compose_tls" "tr_compose_pn" "tr_compose_pushs" "tr_compose_pap" "tr_compose_compose" * ] [ "tr_pap ( ?๏ผ โงฃโจ?โฉ )" "tr_pap_eq" "tr_pap_hdtl" "tr_pap_hdtl_eq" "tr_pap_tls" "tr_pap_pat" "tr_pap_pn" "tr_pap_pushs" "tr_pap_pap" * ] [ "tr_pushs ( โซฏ*[?]? )" "tr_pushs_tls" * ] [ "tr_pn ( โซฏ? ) ( โ†‘? )" "tr_pn_eq" "tr_pn_hdtl" "tr_pn_tls" * ] [ "tr_map ( ๐ญโจ?โฉ )" "tr_eq" "tr_nexts" "tr_pat" "tr_ist" * ] } ] [ { "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 ( ? โˆฅ ? )" "pr_sdj_eq" "pr_sdj_isi" * ] [ "pr_sle ( ? โŠ† ? )" "pr_sle_eq" "pr_sle_pushs" "pr_sle_tls" "pr_sle_isi" "pr_sle_isd" "pr_sle_sle" * ] [ "pr_coafter ( ? ~โŠš ? 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 ( ? โŠš ? 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" "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 ( ๐›€โจ?โฉ )" "pr_isd_eq" "pr_isd_tl" "pr_isd_nexts" "pr_isd_tls" * ] [ "pr_ist ( ๐“โจ?โฉ )" "pr_ist_tls" "pr_ist_isi" "pr_ist_ist" * ] [ "pr_isf ( ๐…โจ?โฉ )" "pr_isf_eq" "pr_isf_tl" "pr_isf_pushs" "fr_isf_tls" "pr_ifs_uni" "pr_isf_isu" * ] [ "pr_fcla ( ๐‚โจ?โฉ โ‰˜ ? )" "pr_fcla_eq" "fcla_uni" "pr_fcla_fcla" * ] [ "pr_isu ( ๐”โจ?โฉ )" "pr_isu_tl" "pr_isu_uni" * ] [ "pr_isi ( ๐ˆโจ?โฉ )" "pr_isi_eq" "pr_isi_tl" "pr_isi_pushs" "pr_isi_tls" "pr_isi_id" "pr_isi_uni" "pr_isi_pat" "pr_isi_nat" * ] [ "pr_nat ( ๏ผ ยงโจ?,?โฉ โ‰˜ ? )" "pr_nat_uni" "pr_nat_basic" "pr_nat_nat" * ] [ "pr_pat ( ๏ผ โงฃโจ?,?โฉ 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 ( ๐›โจ?,?โฉ )" * ] [ "pr_uni ( ๐ฎโจ?โฉ )" "pr_uni_eq" * ] [ "pr_id ( ๐ข ) " "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 ( ? โ‰ ? )" * ] [ "pr_map ( โซฏ? ) ( โ†‘? )" * ] } ] (* [ { "" * } { [ "nstream ( โซฏ? ) ( โ†‘? )" "nstream_eq" "" "" "" "" "nstream_isid" "nstream_id ( ๐ข )" "" "" "" "" "" "" "" "" "nstream_sor" "" "nstream_istot ( ?๏ผ โงฃโจ?โฉ )" "nstream_after ( ? โˆ˜ ? )" "nstream_coafter ( ? ~โˆ˜ ? )" "nstream_basic" "" * ] [ "trace ( โˆฅ?โˆฅ )" "trace_at ( ๏ผ โงฃโจ?,?โฉ โ‰˜ ? )" "trace_after ( ? โŠš ? โ‰˜ ? )" "trace_isid ( ๐ˆโจ?โฉ )" "trace_isun ( ๐”โจ?โฉ )" "trace_sle ( ? โŠ† ? )" "trace_sor ( ? โ‹“ ? โ‰˜ ? )" "trace_snot ( โˆ ? )" * ] } ] *) } ] class "grass" [ { "arithmetics" * } { [ { "extensions" * } { [ "arith_2a ( ๐Ÿ )" "arith_2b" * ] } ] [ { "well-founded induction" * } { [ "wf1_ind_ylt" * ] [ "wf1_ind_nlt" "wf2_ind_nlt" "wf3_ind_nlt.ma" * ] [ "wf1_ind_plt" * ] } ] [ { "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 ( ?โ‰ค? )" "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ŸŽ ) ( โˆž )" "ynat_nat" * ] } ] [ { "non-negative integers" * } { [ "nat_lt ( ?<? )" "nat_lt_tri" "nat_lt_pred" "nat_lt_plus" "nat_lt_minus" "nat_lt_minus_plus" * ] [ "nat_le ( ?โ‰ค? )" "nat_le_pred" "nat_le_plus" "nat_le_minus" "nat_le_minus_plus" "nat_le_max" * ] [ "nat_max ( ?โˆจ? )" * ] [ "nat_minus ( ?-? )" "nat_minus_plus" * ] [ "nat_plus ( ?+? )" "nat_plus_pred" "nat_plus_rplus" "nat_plus_pplus" * ] [ "nat_rplus ( ?+? )" "nat_rplus_pplus" "nat_rplus_succ" * ] [ "nat_pred ( โ†“? )" "nat_pred_succ" * ] [ "nat_succ ( โ†‘? )" "nat_succ_iter" "nat_succ_tri" * ] [ "nat ( ๐ŸŽ )" "nat_iter ( ?^{?}? )" *"nat_tri" ] } ] [ { "positive integers" * } { [ "nat_lt ( ?<? )" "pnat_lt_pred" "pnat_lt_plus" * ] [ "pnat_le ( ?โ‰ค? )" "pnat_le_pred" "pnat_le_plus" * ] [ "pnat_plus ( ?+? )" * ] [ "nat_pred ( โ†“? )" * ] [ "pnat ( ๐Ÿ ) ( โ†‘? )" "pnat_dis" "pnat_iter ( ?^{?}? )" "pnat_tri" * ] } ] } ] class "yellow" [ { "extensions to the library" * } { [ { "streams" * } { [ "stream_tls ( โ‡‚*{?}[?]? )" "stream_tls_eq" "stream_tls_plus" * ] [ "stream_hdtl ( โ‡ƒ{?}? ) ( โ‡‚{?}? )" "stream_hdtl_eq" * ] [ "stream_eq ( ? โ‰—{?} ? )" "stream_eq_eq" * ] [ "stream ( ? โจฎ{?} ? )" * ] } ] [ { "lists" * } { [ "list_append ( ?โจ{?}? )" "list_rcons ( ?โจญ{?}? )" * ] [ "list_length ( |?| )" * ] [ "list ( โ“”{?} ) ( ? โจฎ{?} ? )" "list_eq" * ] } ] [ { "" * } { [ "bool ( โ’ป ) ( โ“‰ )" "bool_or" "bool_and" * ] [ "ltc" "ltc_ctc" * ] [ "logic ( โŠฅ ) ( โŠค )" "relations ( ? โŠ† ? )" "functions" "exteq ( ? โŠœ{?,?} ? )" "star" "lstar_2a" * ] } ] } ] class "orange" [ { "generated library" * } { [ { "generalization with equality" * } { [ "insert_eq" * ] } ] [ { "permutation of quantifiers" * } { [ "pull" * ] } ] [ { "logical decomposables" * } { [ "xoa ( โˆƒโˆƒ ) ( โˆจโˆจ ) ( โˆงโˆง )" * ] } ] } ] class "red" [ { "" * } { [ { "" * } { [ * ] } ] } ] } class "top" { * } class "capitalize italic" { 0 } class "italic" { 1 }