- [ { "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" * ]
+ }
+ ]
+ [ { "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" * ]