∀x∀y(r(x,y)∨l(x,y))∧∃xh(x,y)的换名规则
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发布时间：2024-07-13 13:44
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时间：2024-07-16 10:53
(1)(∃x)(P(x)∧(∀y)(R(x,y)→L(x,y))) P(P规则)
(2) P(a)∧(∀y)(R(a,y)→L(a,y)) T(T规则) (1) ES(存在指定规则)
(3)P(a) T(2)
(4) (∀y)(R(a,y)→L(a,y)) T(2)
(5) (∀x)(P(x)→(∀y)(Q(y)→┐L(x,y))) P
(6) (P(a)→(∀y)(Q(y)→┐L(a,y))) T(5) US(全称指定规则)
(7) (∀y)(Q(y)→┐L(a,y))) T(3)(6)
(8) (R(a,b)→L(a,b)) T(4) US
(9) (Q(b)→┐L(a,b))) T(7) US
(10)L(a,b)→┐Q(b) T(9)
(11)R(a,b)→┐Q(b) T(8) (10)
(12)┐R(a,b)∨┐Q(b) T(11)
(13) (∃y)┐(R(y,b)∧Q(b)) T(12) EG(存在推广规则)
(14) (∀x)(∃y) ( ┐(R(y,x)∧Q(x))) T(13) UG(全称推广规则)
(15) ┐(∃x)(∀y)(R(y,x)∧Q(x)) T(14)
