Logiweb aspects of hypothesize plus plus in pyk

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The predefined "pyk" aspect

define pyk of hypothesize plus plus as text unicode start of text unicode small h unicode small y unicode small p unicode small o unicode small t unicode small h unicode small e unicode small s unicode small i unicode small z unicode small e unicode space unicode small p unicode small l unicode small u unicode small s unicode space unicode small p unicode small l unicode small u unicode small s unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of hypothesize plus plus as text unicode start of text unicode newline unicode capital t unicode small i unicode small l unicode small f unicode backslash unicode small o unicode space unicode small j unicode space unicode space unicode small h unicode small y unicode small p unicode small o unicode small t unicode small e unicode small s unicode small e unicode underscore unicode plus sign unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of hypothesize plus plus as system prime s infer all metavar var i end metavar indeed all metavar var h end metavar indeed all metavar var a end metavar indeed ( metavar var a end metavar infer ( metavar var i end metavar peano imply ( metavar var h end metavar peano imply metavar var a end metavar ) ) ) end define

The user defined "the proof aspect" aspect

define proof of hypothesize plus plus as lambda var c dot lambda var x dot proof expand quote system prime s infer all metavar var i end metavar indeed all metavar var h end metavar indeed all metavar var a end metavar indeed ( metavar var a end metavar infer ( ( ( hypothesize modus ponens metavar var a end metavar ) conclude ( metavar var h end metavar peano imply metavar var a end metavar ) ) cut ( ( hypothesize modus ponens ( metavar var h end metavar peano imply metavar var a end metavar ) ) conclude ( metavar var i end metavar peano imply ( metavar var h end metavar peano imply metavar var a end metavar ) ) ) ) ) end quote state proof state cache var c end expand end define