sequent falsification Sections ClassicalProps(jlc) Doc

K_imp Def p q == case p: 3 3; 3 case q: 3 3; 3 3; 3 3;; 3 q;

Thm* p,q:. p q

Three_1 Def 3 == inr(inl())

Thm* 3

Three_2 Def 3 == inr(inr())

Thm* 3

Three_case Def case x: 3 case0; 3 case1; 3 case2; == InjCase(x; zero. case0; one_or_two. InjCase(one_or_two; one. case1; two. case2))

Thm* t:Type{i}, t':Type{j}, t'':Type{k}, c:t, c':t', c'':t''. case 3: 3 c; 3 c'; 3 c''; t

Thm* t:Type{i}, t':Type{j}, t'':Type{k}, c:t, c':t', c'':t''. case 3: 3 c'; 3 c''; 3 c; t''

Thm* t:Type{i}, t':Type{j}, t'':Type{k}, c:t, c':t', c'':t''. case 3: 3 c; 3 c'; 3 c''; t''

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