Logiweb aspects of modus tollens in pyk

Up Help

The predefined "pyk" aspect

define pyk of modus tollens as text unicode start of text unicode small m unicode small o unicode small d unicode small u unicode small s unicode space unicode small t unicode small o unicode small l unicode small l unicode small e unicode small n unicode small s unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of modus tollens as text unicode start of text unicode newline unicode capital m unicode capital t unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of modus tollens as system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar imply metavar var b end metavar infer not metavar var b end metavar infer not metavar var a end metavar end define

The user defined "the proof aspect" aspect

define proof of modus tollens as lambda var c dot lambda var x dot proof expand quote system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar imply metavar var b end metavar infer not metavar var b end metavar infer h one conclude not not metavar var a end metavar imply metavar var a end metavar cut h zero a modus ponens not not metavar var a end metavar imply metavar var a end metavar modus ponens metavar var a end metavar imply metavar var b end metavar conclude not not metavar var a end metavar imply metavar var b end metavar cut all metavar var a end metavar indeed all metavar var b end metavar indeed not not metavar var a end metavar imply metavar var b end metavar infer not metavar var b end metavar infer lemma a one conclude not metavar var b end metavar imply not not metavar var a end metavar imply not metavar var b end metavar cut rule mp modus ponens not metavar var b end metavar imply not not metavar var a end metavar imply not metavar var b end metavar modus ponens not metavar var b end metavar conclude not not metavar var a end metavar imply not metavar var b end metavar cut double negation modus ponens not not metavar var a end metavar imply not metavar var b end metavar modus ponens not not metavar var a end metavar imply metavar var b end metavar conclude not metavar var a end metavar cut deduction modus ponens all metavar var a end metavar indeed all metavar var b end metavar indeed not not metavar var a end metavar imply metavar var b end metavar infer not metavar var b end metavar infer not metavar var a end metavar conclude not not metavar var a end metavar imply metavar var b end metavar imply not metavar var b end metavar imply not metavar var a end metavar cut rule mp modus ponens not not metavar var a end metavar imply metavar var b end metavar imply not metavar var b end metavar imply not metavar var a end metavar modus ponens not not metavar var a end metavar imply metavar var b end metavar conclude not metavar var b end metavar imply not metavar var a end metavar cut rule mp modus ponens not metavar var b end metavar imply not metavar var a end metavar modus ponens not metavar var b end metavar conclude not metavar var a end metavar end quote state proof state cache var c end expand end define