Logiweb aspects of prop lemma imply transitivity in pyk

Up Help

The predefined "pyk" aspect

define pyk of prop lemma imply transitivity as text unicode start of text unicode small p unicode small r unicode small o unicode small p unicode space unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small i unicode small m unicode small p unicode small l unicode small y unicode space unicode small t unicode small r unicode small a unicode small n unicode small s unicode small i unicode small t unicode small i unicode small v unicode small i unicode small t unicode small y unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop lemma imply transitivity as text unicode start of text unicode capital i unicode small m unicode small p unicode small l unicode small y unicode capital t unicode small r unicode small a unicode small n unicode small s unicode small i unicode small t unicode small i unicode small v unicode small i unicode small t unicode small y unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of prop lemma imply transitivity as system zf infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar imply metavar var b end metavar infer metavar var b end metavar imply metavar var c end metavar infer metavar var a end metavar imply metavar var c end metavar end define

The user defined "the proof aspect" aspect

define proof of prop lemma imply transitivity as lambda var c dot lambda var x dot proof expand quote system zf infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar imply metavar var b end metavar infer metavar var b end metavar imply metavar var c end metavar infer metavar var a end metavar infer 1rule mp modus ponens metavar var a end metavar imply metavar var b end metavar modus ponens metavar var a end metavar conclude metavar var b end metavar cut 1rule mp modus ponens metavar var b end metavar imply metavar var c end metavar modus ponens metavar var b end metavar conclude metavar var c end metavar cut all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar imply metavar var b end metavar infer metavar var b end metavar imply metavar var c end metavar infer 1rule deduction modus ponens all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar imply metavar var b end metavar infer metavar var b end metavar imply metavar var c end metavar infer metavar var a end metavar infer metavar var c end metavar conclude metavar var a end metavar imply metavar var b end metavar imply metavar var b end metavar imply metavar var c end metavar imply metavar var a end metavar imply metavar var c end metavar cut prop lemma mp2 modus ponens metavar var a end metavar imply metavar var b end metavar imply metavar var b end metavar imply metavar var c end metavar imply metavar var a end metavar imply metavar var c end metavar modus ponens metavar var a end metavar imply metavar var b end metavar modus ponens metavar var b end metavar imply metavar var c end metavar conclude metavar var a end metavar imply metavar var c end metavar end quote state proof state cache var c end expand end define