Logiweb aspects of lemma fpart-Bounded in pyk

Up Help

The predefined "pyk" aspect

define pyk of lemma fpart-Bounded as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small f unicode small p unicode small a unicode small r unicode small t unicode hyphen unicode capital b unicode small o unicode small u unicode small n unicode small d unicode small e unicode small d unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma fpart-Bounded as text unicode start of text unicode capital f unicode small p unicode small a unicode small r unicode small t unicode hyphen unicode capital b unicode small o unicode small u unicode small n unicode small d unicode small e unicode small d unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma fpart-Bounded as system Q infer all metavar var v1 end metavar indeed all metavar var v2 end metavar indeed all metavar var n end metavar indeed all metavar var fx end metavar indeed not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed metavar var v2 end metavar <= metavar var n end metavar imply not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | <= metavar var v1 end metavar imply not0 not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | = metavar var v1 end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma fpart-Bounded as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var v1 end metavar indeed all metavar var v2 end metavar indeed all metavar var n end metavar indeed all metavar var fx end metavar indeed lemma fpart-Bounded base conclude not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed metavar var v2 end metavar <= 0 imply not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | <= metavar var v1 end metavar imply not0 not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | = metavar var v1 end metavar cut lemma fpart-Bounded indu conclude not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed metavar var v2 end metavar <= metavar var n end metavar imply not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | <= metavar var v1 end metavar imply not0 not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | = metavar var v1 end metavar imply not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed metavar var v2 end metavar <= metavar var n end metavar + 1 imply not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | <= metavar var v1 end metavar imply not0 not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | = metavar var v1 end metavar cut lemma induction modus ponens not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed metavar var v2 end metavar <= 0 imply not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | <= metavar var v1 end metavar imply not0 not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | = metavar var v1 end metavar modus ponens not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed metavar var v2 end metavar <= metavar var n end metavar imply not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | <= metavar var v1 end metavar imply not0 not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | = metavar var v1 end metavar imply not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed metavar var v2 end metavar <= metavar var n end metavar + 1 imply not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | <= metavar var v1 end metavar imply not0 not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | = metavar var v1 end metavar conclude not0 for all objects metavar var v1 end metavar indeed not0 for all objects metavar var v2 end metavar indeed metavar var v2 end metavar <= metavar var n end metavar imply not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | <= metavar var v1 end metavar imply not0 not0 | [ metavar var fx end metavar ; metavar var v2 end metavar ] | = metavar var v1 end metavar end quote state proof state cache var c end expand end define