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Theorem base for Specification ops-impl

This is a listing of all goals defined over the current specification. Axioms are marked yellow, proved theorems green and unproved theorems blue. Click on individual names to get more information on the proof.

Name: Sequent: Type:
write-declwrite(r, o; h){if ¬ r ∈ h then abort else h[r] := o} An Axiom
alloc-declalloc(; r, h){choose r0 with ¬ r0 ∈ h ∧ r0 ≠ null in r := r0, h := h ++ r0} An Axiom
free-declfree(r; h){if ¬ r ∈ h then abort else h := h -- r} An Axiom
infinite-refs ⊦ ∃ r. ¬ r ∈ rs ∧ r ≠ null An Axiom
alloc-refset-declalloc#(rs; r, h){choose r0 with ¬ r0 ∈ rs ∧ r0 ≠ null in r := r0, h := h ++ r0} An Axiom
infinite-mem ⊦ ∃ r. ¬ r ∈ h ∧ r ≠ null An Axiom
read-declread(r, h; o){if ¬ r ∈ h then abort else o := h[r]} An Axiom