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author soto <soto@cr.ie.u-ryukyu.ac.jp>
date Sun, 24 Apr 2022 23:13:44 +0900
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_!$\Rightarrow$!_ : Bool !$\rightarrow$! Bool !$\rightarrow$! Bool
false  !$\Rightarrow$!  _ = true
true  !$\Rightarrow$!  true = true
true  !$\Rightarrow$!  false = false

Axiom : Cond !$\rightarrow$! PrimComm !$\rightarrow$! Cond !$\rightarrow$! Set
Axiom pre comm post = !$\forall$! (env : Env) !$\rightarrow$!  (pre env) !$\Rightarrow$! ( post (comm env)) !$\equiv$! true

Tautology : Cond !$\rightarrow$! Cond !$\rightarrow$! Set
Tautology pre post = !$\forall$! (env : Env) !$\rightarrow$!  (pre env)  !$\Rightarrow$! (post env) !$\equiv$! true