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Theorem base summary for Specification heap-sep
Status:
Proved!
Axioms: 15, User Theorems: (Proved: 62, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 330, Interactions: 178
Eq-P(3,2)
adjunction(15,7)
emp(0,0)
imp-cases(2,1)
precise(0,0)
prop(0,0)
sep-split-interactive(4,1)
this-emp(1,1)
wand(0,0)
Frame(2,1)
and(0,0)
emp-sep(2,2)
imp-mono(3,1)
precise-and(2,1)
prop-emp(1,0)
septract(0,0)
true(0,0)
wand-dual(11,4)
Imp(0,0)
and-ass(1,1)
eq-frame(1,1)
imp-propfalse(2,1)
precise-disj(20,12)
prop-sep(5,2)
septract-given(4,2)
true-and(1,1)
wand-same-emp(1,1)
Imp-frame(2,1)
and-com(1,1)
false(0,0)
imp-proptrue(1,1)
precise-emp(1,1)
prop-shift(1,1)
sharing(0,0)
true-elim(4,2)
wand-same-emp-p(3,2)
Imp-from-eq(5,2)
and-combine(5,3)
false-and(1,1)
introduce-sharing(30,19)
precise-same(7,4)
sep(0,0)
sharing-com(21,14)
true-elims(6,2)
wand-shift(16,9)
Imp-refl(1,0)
and-imp(2,1)
false-rev(1,0)
not(0,0)
precise-sep(22,12)
sep-Mp(5,2)
sharing-emp(18,9)
true-emp(3,2)
Imp-trans(4,1)
and-split(6,3)
false-sep(3,2)
or(0,0)
precise-split-l(5,3)
sep-ass(16,10)
split-union(3,1)
true-rev(1,0)
Imp1(2,0)
and-weaken(4,1)
falseH(1,0)
or-ass(1,1)
precise-split-r(5,3)
sep-com(12,8)
stability(13,6)
true-true(4,3)
Imp2(4,1)
and-weaken-this(1,0)
imp(0,0)
or-com(1,1)
precise-this(1,1)
sep-mp(5,2)
this(0,0)
trueH(1,0)