list 3 jlc Sections Support(jlc) Doc

Def {T=} == {eq:(TT)| x,y:T. (eq(x,y)) x = y }

is mentioned by

Thm* eq:{T=}, L,M:T List. L(eq)M (x:{x:T| x(eq) L }. x(eq) M)[is_intersection_implies_exists_element]
Thm* eq:{T=}, x,y:T, L:T List. x(eq) L eq(x,y) x(eq) remove(eq;y;L)[not_is_member_remove_lemma]
Thm* eq:{T=}, P:(T), L:T List, x:T. x(eq) L P(x) x(eq) filter((x.P(x));L)[filter_is_member_lemma]
Thm* eq:{T=}, P:(T), L:T List, x:T. x(eq) filter((x.P(x));L) P(x)[is_member_filter_lemma]
Thm* eq:{T=}, L:T List, x:T. x(eq) L (M,N:T List. L = (M @ (x.N)) & remove(eq;x;L) = (M @ N))[is_member_remove_lemma]
Thm* eq:{T=}, u:T, L:T List. u(eq) L (v:T, M:T List. L = v.M)[is_member_non_nil]
Thm* eq:{T=}, L:T List, x:T. (M,N:T List. L = (M @ (x.N))) x(eq) L[append_is_member_lemma]
Thm* eq:{T=}, L:T List, x:T. x(eq) L (M,N:T List. L = (M @ (x.N)))[is_member_append_lemma]
Thm* eq:{T=}, L:T List. L(eq)nil L = nil[sublist_of_nil_iff_nil]
Thm* L,M:T List, eq:{T=}. L(eq)M (eq)(L,M)[sublist_iff_assert_sublist_2_x]
Thm* eq:{T=}, x:T, L,M:T List. x(eq) L L(eq)M x(eq) M[is_member_sublist_lemma]
Thm* eq:{T=}, L:T List. L(eq)L[sublist_reflexive]
Thm* EQ:{T=}, eq:{T}, L,M:T List. L(eq)M (z:T. z(EQ) L z(eq) M)[sublist_list_all_lemma]
Thm* eq:{T=}, u:T, v:T List. v(eq)(u.v)[sublist_tail1]
Thm* T:Type, eq:{T=}, L1,L2:T List. L1(eq)L2 Type[sublist_wf1]
Thm* eq:{T=}, L,M:T List. disjoint(eq;L;M) (x:T. x(eq) L & x(eq) M)[not_disjoint_is_member_lemma]
Thm* eq:{T=}, P:(TType), L:T List. xL.P(x) (x:{x:T| x(eq) L }. P(x))[list_all_all]
Thm* eq:{T=}, P:(TType), L:T List. xL.P(x) (x:{x:T| x(eq) L }. P(x))[list_exists_exists]
Thm* eq:{T=}, P:(TProp), x:T, L:T List. x(eq) L P(x) yL.P(y)[list_exists_is_member_lemma1]
Thm* eq:{T=}, P:(TProp), L:T List. (x:T. x(eq) L & P(x)) yL.P(y)[list_exists_is_member_lemma]
Thm* eq:{T=}, P:(TProp), L:T List. xL.P(x) (z:T. z(eq) L P(z))[list_all_is_member_lemma]
Thm* equiv:{T}, eq:{T=}, u:T, L:T List. u(equiv) L (v:T. equiv(u,v) & v(eq) L)[is_member_equality_strengthening_lemma]
Thm* eq:{T=}, u:T, L:T List. u(eq) L (f:{T}. u(f) L)[is_member_equalities_lemma]

In prior sections: discrete jlc core 3 jlc


list 3 jlc Sections Support(jlc) Doc