Logiweb aspects of lemma a two in pyk

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The predefined "pyk" aspect

define pyk of lemma a two 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 a unicode space unicode small t unicode small w unicode small o unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma a two as text unicode start of text unicode newline unicode capital a unicode two unicode apostrophe unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma a two as system s 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 imply metavar var c end metavar ) ) imply ( ( metavar var a end metavar imply metavar var b end metavar ) imply ( metavar var a end metavar imply metavar var c end metavar ) ) ) end define

The user defined "the proof aspect" aspect

define proof of lemma a two 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 all metavar var c end metavar indeed ( ( 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 imply metavar var c end metavar ) ) infer ( ( metavar var a end metavar imply metavar var b end metavar ) infer ( metavar var a end metavar infer ( ( ( ( rule 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 ( ( ( ( rule mp modus ponens ( metavar var a end metavar imply ( metavar var b end metavar imply metavar var c end metavar ) ) ) modus ponens metavar var a end metavar ) conclude ( metavar var b end metavar imply metavar var c end metavar ) ) cut ( ( ( rule 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 ( ( 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 imply metavar var c end metavar ) ) infer ( ( metavar var a end metavar imply metavar var b 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 c end metavar ) ) imply ( ( metavar var a end metavar imply metavar var b end metavar ) imply ( metavar var a end metavar imply metavar var c end metavar ) ) ) ) ) end quote state proof state cache var c end expand end define