Mercurial > hg > Papers > 2020 > soto-midterm

annotate src/axiom-taut.agda.replaced @ 1:73127e0ab57c

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author soto@cr.ie.u-ryukyu.ac.jp
date Tue, 08 Sep 2020 18:38:08 +0900
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soto@cr.ie.u-ryukyu.ac.jp
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1 _@$\Rightarrow$@_ : Bool @$\rightarrow$@ Bool @$\rightarrow$@ Bool
soto@cr.ie.u-ryukyu.ac.jp
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2 false @$\Rightarrow$@ _ = true
soto@cr.ie.u-ryukyu.ac.jp
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3 true @$\Rightarrow$@ true = true
soto@cr.ie.u-ryukyu.ac.jp
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4 true @$\Rightarrow$@ false = false
soto@cr.ie.u-ryukyu.ac.jp
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5
soto@cr.ie.u-ryukyu.ac.jp
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6 Axiom : Cond @$\rightarrow$@ PrimComm @$\rightarrow$@ Cond @$\rightarrow$@ Set
soto@cr.ie.u-ryukyu.ac.jp
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7 Axiom pre comm post = @$\forall$@ (env : Env) @$\rightarrow$@ (pre env) @$\Rightarrow$@ ( post (comm env)) @$\equiv$@ true
soto@cr.ie.u-ryukyu.ac.jp
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8
soto@cr.ie.u-ryukyu.ac.jp
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9 Tautology : Cond @$\rightarrow$@ Cond @$\rightarrow$@ Set
soto@cr.ie.u-ryukyu.ac.jp
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10 Tautology pre post = @$\forall$@ (env : Env) @$\rightarrow$@ (pre env) @$\Rightarrow$@ (post env) @$\equiv$@ true