Logiweb aspects of prop three two i in pyk

Up Help

The predefined "pyk" aspect

define pyk of prop three two i as text unicode start of text unicode small p unicode small r unicode small o unicode small p unicode space unicode small t unicode small h unicode small r unicode small e unicode small e unicode space unicode small t unicode small w unicode small o unicode space unicode small i unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop three two i as text unicode start of text unicode newline unicode capital p unicode small r unicode small o unicode small p unicode backslash unicode space unicode three unicode period unicode two unicode small i unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of prop three two i as system s infer for all terms metavar var a end metavar comma metavar var b end metavar comma metavar var c end metavar indeed metavar var a end metavar equal metavar var b end metavar infer metavar var c end metavar plus metavar var a end metavar equal metavar var c end metavar plus metavar var b end metavar end define

The user defined "the proof aspect" aspect

define proof of prop three two i as lambda var c dot lambda var x dot proof expand quote system s infer any term metavar var a end metavar comma metavar var b end metavar comma metavar var c end metavar end line block any term macro indent metavar var a end metavar comma metavar var b end metavar comma metavar var c end metavar end line macro indent metavar var a end metavar equal metavar var b end metavar infer prop three two e modus ponens macro indent metavar var a end metavar equal metavar var b end metavar conclude macro indent metavar var a end metavar plus metavar var c end metavar equal metavar var b end metavar plus metavar var c end metavar cut prop three two h conclude macro indent metavar var a end metavar plus metavar var c end metavar equal metavar var c end metavar plus metavar var a end metavar cut prop three two h conclude macro indent metavar var b end metavar plus metavar var c end metavar equal metavar var c end metavar plus metavar var b end metavar cut axiom s one modus ponens macro indent metavar var a end metavar plus metavar var c end metavar equal metavar var b end metavar plus metavar var c end metavar modus ponens macro indent metavar var a end metavar plus metavar var c end metavar equal metavar var c end metavar plus metavar var a end metavar conclude macro indent metavar var b end metavar plus metavar var c end metavar equal metavar var c end metavar plus metavar var a end metavar cut prop three two b modus ponens macro indent metavar var b end metavar plus metavar var c end metavar equal metavar var c end metavar plus metavar var a end metavar conclude macro indent metavar var c end metavar plus metavar var a end metavar equal metavar var b end metavar plus metavar var c end metavar cut because prop three two c modus ponens macro indent metavar var c end metavar plus metavar var a end metavar equal metavar var b end metavar plus metavar var c end metavar modus ponens macro indent metavar var b end metavar plus metavar var c end metavar equal metavar var c end metavar plus metavar var b end metavar indeed macro indent metavar var c end metavar plus metavar var a end metavar equal metavar var c end metavar plus metavar var b end metavar end line line ell g end block deduction modus ponens ell g conclude metavar var a end metavar equal metavar var b end metavar infer metavar var c end metavar plus metavar var a end metavar equal metavar var c end metavar plus metavar var b end metavar end quote state proof state cache var c end expand end define