}
]
class "water"
- [ { "generic rt-transition counter" * } {
+ [ { "generic rt-transition counters" * } {
[ { "" * } {
- [ "rtc_ist ( ð\9d\90\93â\9dª?,?â\9d« )" "rtc_ist_shift" "rtc_ist_plus" "rtc_ist_max" * ]
- [ "rtc_isrc ( 𝐑𝐓❪?,?❫ )" "rtc_isrt_shift" "rtc_isrt_plus" "rtc_isrt_max" "rtc_isrt_max_shift" * ]
+ [ "rtc_ist ( ð\9d\90\93â\9d¨?,?â\9d© )" "rtc_ist_shift" "rtc_ist_plus" "rtc_ist_max" * ]
+ [ "rtc_ism ( 𝐌❨?,?❩ )" "rtc_ism_shift" "rtc_ism_plus" "rtc_ism_max" "rtc_ism_max_shift" * ]
[ "rtc ( 〈?,?,?,?〉 ) ( 𝟘𝟘 ) ( 𝟙𝟘 ) ( 𝟘𝟙 )" "rtc_shift ( ↕*? )" "rtc_plus ( ? + ? )" "rtc_max ( ? ∨ ? )" "rtc_max_shift" * ]
}
]
}
]
class "green"
- [ { "multiple relocation" * } {
+ [ { "relocation maps" * } {
+ [ { "finite relocation with pairs" * } {
+ [ "fr2_nat ( @❨?,?❩ ≘ ? )" "fr2_nat_nat" * ]
+ [ "fr2_minus ( ? ▭ ? ≘ ? )" * ]
+ [ "fr2_append ( ?●? )" * ]
+ [ "fr2_plus ( ?+? )" * ]
+ [ "fr2_map ( 𝐞 ) ( ❨?,?❩◗? )" * ]
+ }
+ ]
+ [ { "total relocation" * } {
+ [ "tr_uni ( 𝐮❨?❩ )" "tr_uni_eq" "tr_uni_hdtl" "tr_uni_tls" "tr_uni_pap" "tr_uni_compose" * ]
+ [ "tr_id ( 𝐢 ) " "tr_id_hdtl" "tr_id_pushs" "tr_id_tls" "tr_id_pap" "tr_id_compose" * ]
+ [ "tr_compose ( ?∘? )" "tr_compose_eq" "tr_compose_tls" "tr_compose_pn" "tr_compose_pushs" "tr_compose_pap" "tr_compose_compose" * ]
+ [ "tr_pap ( ?@❨?❩ )" "tr_pap_eq" "tr_pap_tls" "tr_pap_pat" "tr_pap_pn" "tr_pap_pushs" "tr_pap_pap" * ]
+ [ "tr_pushs ( ⫯*[?]? )" * ]
+ [ "tr_pn ( ⫯? ) ( ↑? )" "tr_pn_eq" "tr_pn_hdtl" "tr_pn_tls" * ]
+ [ "tr_map ( 𝐭❨?❩ )" "tr_eq" "tr_nexts" "tr_pat" "tr_ist" * ]
+ }
+ ]
+ [ { "partial relocation" * } {
+ [ "pr_sor ( ? ⋓ ? ≘ ? )" "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 ( ? ⋒ ? ≘ ? )" "pr_sand_eq" * ]
+ [ "pr_sdj ( ? ∥ ? )" "pr_sdj_eq" "pr_sdj_isi" * ]
+ [ "pr_sle ( ? ⊆ ? )" "pr_sle_eq" "pr_sle_pushs" "pr_sle_tls" "pr_sle_isi" "pr_sle_isd" "pr_sle_sle" * ]
+ [ "pr_coafter ( ? ~⊚ ? ≘ ? )" "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 ( ? ⊚ ? ≘ ? )" "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 ( 𝛀❨?❩ )" "pr_isd_eq" "pr_isd_tl" "pr_isd_nexts" "pr_isd_tls" * ]
+ [ "pr_ist ( 𝐓❨?❩ )" "pr_ist_tls" "pr_ist_isi" "pr_ist_ist" * ]
+ [ "pr_isf ( 𝐅❨?❩ )" "pr_isf_eq" "pr_isf_tl" "pr_isf_pushs" "fr_isf_tls" "pr_ifs_uni" "pr_isf_isu" * ]
+ [ "pr_fcla ( 𝐂❨?❩ ≘ ? )" "pr_fcla_eq" "fcla_uni" "pr_fcla_fcla" * ]
+ [ "pr_isu ( 𝐔❨?❩ )" "pr_isu_tl" "pr_isu_uni" * ]
+ [ "pr_isi ( 𝐈❨?❩ )" "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 ( @↑❨?,?❩ ≘ ? )" "pr_nat_uni" "pr_nat_basic" "pr_nat_nat" * ]
+ [ "pr_pat ( @❨?,?❩ ≘ ? )" "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 ( 𝐛❨?,?❩ )" * ]
+ [ "pr_uni ( 𝐮❨?❩ )" "pr_uni_eq" * ]
+ [ "pr_id ( 𝐢 ) " "pr_id_eq" * ]
+ [ "pr_tls ( ⫰*[?]? )" "pr_tls_eq" "pr_tls_pushs" "pr_tls_pushs_eq" "pr_tls_nexts_eq" * ]
+ [ "pr_nexts ( ↑*[?]? )" "pr_nexts_eq" * ]
+ [ "pr_pushs ( ⫯*[?]? )" "pr_pushs_eq" * ]
+ [ "pr_tl ( ⫰? )" "pr_tl_eq" "pr_tl_eq_eq" * ]
+ [ "pr_eq ( ? ≐ ? )" * ]
+ [ "pr_map ( ⫯? ) ( ↑? )" * ]
+ }
+ ]
+(*
[ { "" * } {
- [ "rtmap" "rtmap_eq ( ? ≡ ? )" "rtmap_pushs ( ⫯*[?]? )" "rtmap_nexts ( ↑*[?]? )"
- "rtmap_tl ( ⫱? )" "rtmap_tls ( ⫱*[?]? )" "rtmap_isid ( 𝐈❪?❫ )" "rtmap_id" "rtmap_isdiv ( 𝛀❪?❫ )"
- "rtmap_fcla ( 𝐂❪?❫ ≘ ? )" "rtmap_isfin ( 𝐅❪?❫ )" "rtmap_isuni ( 𝐔❪?❫ )" "rtmap_uni ( 𝐔❨?❩ )"
- "rtmap_sle ( ? ⊆ ? )" "rtmap_sdj ( ? ∥ ? )" "rtmap_sand ( ? ⋒ ? ≘ ? )" "rtmap_sor ( ? ⋓ ? ≘ ? )"
- "rtmap_at ( @❪?,?❫ ≘ ? )" "rtmap_istot ( 𝐓❪?❫ )" "rtmap_after ( ? ⊚ ? ≘ ? )" "rtmap_coafter ( ? ~⊚ ? ≘ ? )"
- "rtmap_basic ( 𝐁❨?,?❩ )" "rtmap_basic_after"
- * ]
[ "nstream ( ⫯? ) ( ↑? )" "nstream_eq" "" ""
- "" "" "nstream_isid" "nstream_id ( ð\9d\90\88ð\9d\90\9d )" ""
+ "" "" "nstream_isid" "nstream_id ( ð\9d\90¢ )" ""
"" "" "" ""
"" "" "" "nstream_sor"
"" "nstream_istot ( ?@❨?❩ )" "nstream_after ( ? ∘ ? )" "nstream_coafter ( ? ~∘ ? )"
"nstream_basic" ""
* ]
-(*
- [ "trace ( ∥?∥ )" "trace_at ( @❪?,?❫ ≘ ? )" "trace_after ( ? ⊚ ? ≘ ? )" "trace_isid ( 𝐈❪?❫ )" "trace_isun ( 𝐔❪?❫ )"
- "trace_sle ( ? ⊆ ? )" "trace_sor ( ? ⋓ ? ≘ ? )" "trace_snot ( ∁ ? )" * ]
-*)
- [ "mr2 ( ◊ ) ( ❨?,?❩;? )" "mr2_append ( ? @@? )" "mr2_at ( @❪?,?❫ ≘ ? )" "mr2_plus ( ? + ? )" "mr2_minus ( ? ▭ ? ≘ ? )" * ]
+ [ "trace ( ∥?∥ )" "trace_at ( @❨?,?❩ ≘ ? )" "trace_after ( ? ⊚ ? ≘ ? )" "trace_isid ( 𝐈❨?❩ )" "trace_isun ( 𝐔❨?❩ )"
+ "trace_sle ( ? ⊆ ? )" "trace_sor ( ? ⋓ ? ≘ ? )" "trace_snot ( ∁ ? )"
+ * ]
}
]
+*)
}
]
class "grass"
- [ { "natural numbers with infinity" * } {
- [ { "" * } {
- [ "ynat ( ∞ )" "ynat_pred ( ↓? )" "ynat_succ ( ↑? )"
- "ynat_le ( ? ≤ ? )" "ynat_lt ( ? < ? )"
- "ynat_plus ( ? + ? )" "ynat_minus_sn ( ? - ? )" *
- ]
+ [ { "arithmetics" * } {
+ [ { "extensions" * } {
+ [ "arith_2a ( 𝟐 )" "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 ( ?≤? )" "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 ( ↓? )" "ynat_pred_succ" * ]
+ [ "ynat_succ ( ↑? )" * ]
+ [ "ynat ( 𝟎 ) ( ∞ )" "ynat_nat" * ]
}
]
- }
- ]
- class "grass"
- [ { "arithmetics" * } {
[ { "non-negative integers" * } {
- [ "nat_lt ( ?<? )" "nat_lt_pred" "nat_lt_plus" "nat_lt_minus" "nat_lt_minus_plus" * ]
- [ "nat_le ( ?≤? )" "nat_le_pred" "nat_le_plus" "nat_le_minus" "nat_le_minus_plus" * ]
+ [ "nat_lt ( ?<? )" "nat_lt_tri" "nat_lt_pred" "nat_lt_plus" "nat_lt_minus" "nat_lt_minus_plus" * ]
+ [ "nat_le ( ?≤? )" "nat_le_pred" "nat_le_plus" "nat_le_minus" "nat_le_minus_plus" "nat_le_max" * ]
+ [ "nat_max ( ?∨? )" * ]
[ "nat_minus ( ?-? )" "nat_minus_plus" * ]
- [ "nat_plus ( ?+? )" * ]
+ [ "nat_plus ( ?+? )" "nat_plus_pred" "nat_plus_rplus" * ]
+ [ "nat_rplus ( ?+? )" "nat_rplus_pplus" "nat_rplus_succ" * ]
[ "nat_pred ( ↓? )" "nat_pred_succ" * ]
- [ "nat_succ ( ↑? )" "nat_succ_iter" * ]
- [ "nat ( 𝟎 )" "nat_iter ( ?^{?}? )" * ]
+ [ "nat_succ ( ↑? )" "nat_succ_iter" "nat_succ_tri" * ]
+ [ "nat ( 𝟎 )" "nat_iter ( ?^{?}? )" *"nat_tri" ]
}
]
[ { "positive integers" * } {
+ [ "nat_lt ( ?<? )" "pnat_lt_pred" "pnat_lt_plus" * ]
+ [ "pnat_le ( ?≤? )" "pnat_le_pred" "pnat_le_plus" * ]
[ "pnat_plus ( ?+? )" * ]
- [ "pnat ( 𝟏 ) ( ↑? )" "pnat_dis" "pnat_iter ( ?^{?}? )" * ]
+ [ "nat_pred ( ↓? )" * ]
+ [ "pnat ( 𝟏 ) ( ↑? )" "pnat_dis" "pnat_iter ( ?^{?}? )" "pnat_tri" * ]
}
]
}
]
class "yellow"
[ { "extensions to the library" * } {
+ [ { "streams" * } {
+ [ "stream_tls ( ⇂*{?}[?]? )" "stream_tls_eq" "stream_tls_plus" * ]
+ [ "stream_hdtl ( ⇃{?}? ) ( ⇂{?}? )" "stream_hdtl_eq" * ]
+ [ "stream_eq ( ? ≗{?} ? )" "stream_eq_eq" * ]
+ [ "stream ( ? ⨮{?} ? )" * ]
+ }
+ ]
+ [ { "lists" * } {
+ [ "list_append ( ?⨁{?}? )" "list_rcons ( ?⨭{?}? )" * ]
+ [ "list_length ( |?| )" * ]
+ [ "list ( ⓔ{?} ) ( ? ⨮{?} ? )" "list_eq" * ]
+ }
+ ]
[ { "" * } {
- [ "stream ( ? ⨮{?} ? )" "stream_eq ( ? ≗{?} ? )" "stream_hdtl ( ⫰{?}? )" "stream_tls ( ⫰*{?}[?]? )" * ]
- [ "list ( Ⓔ{?} ) ( ? ⨮{?} ? )" "list_length ( |?| )" * ]
- [ "bool ( Ⓕ ) ( Ⓣ )" "arith ( ?^? ) ( ↑? ) ( ↓? ) ( ? ∨ ? ) ( ? ∧ ? )" "arith_2a" "arith_2b" * ]
+ [ "bool ( Ⓕ ) ( Ⓣ )" "bool_or" "bool_and" * ]
[ "ltc" "ltc_ctc" * ]
- [ "logic ( â\8a¥ ) ( â\8a¤ )" "relations ( ? â\8a\86 ? )" "functions" "exteq ( ? â\89\90{?,?} ? )" "star" "lstar_2a" * ]
+ [ "logic ( â\8a¥ ) ( â\8a¤ )" "relations ( ? â\8a\86 ? )" "functions" "exteq ( ? â\8a\9c{?,?} ? )" "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