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Theorem base summary for Specification path-reachable
Status:
Proved!
Axioms: 9, User Theorems: 70 (Proved: 70, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 1107, Interactions: 540
acyclic-rem-not-reachable(66,34)
id-reachable(4,2)
modnotreachable-reachable-rev-weak(13,7)
path-first-in-H(2,1)
path-prefix(4,1)
reach-n-unique(4,1)
reachable-n-base(0,0)
reachable-notnullinH(1,0)
rem-reachable-rev-weak(18,10)
add-preserves-reachable(42,26)
k-path(4,0)
modnotreachable-reachable-weak(1,0)
path-last(8,1)
path-prelast(2,1)
reach-reachnext(22,10)
reachable-n-rec(2,2)
reachable-split-first(6,2)
rem-stays-reachable-aux(73,39)
add-preserves-reachable-rev(55,29)
k-reachable-def(36,18)
notnull-reachable(2,1)
path-last-not-null(4,1)
path-split-last(4,2)
reachable-1-def(0,0)
reachable-n-rec-rev(11,9)
reachable-split-last(15,7)
rem-stays-reachable-aux1(46,24)
changenonnxt-reachable(13,5)
linearity(14,7)
null-not-reachable(8,2)
path-last-nxt(4,1)
path-trans(6,2)
reachable-addnew(11,4)
reachable-n-rec-rev2(23,13)
reachable-star-def(0,0)
rem-stays-reachable-aux2(171,87)
changenonnxt-reachable-rev(2,1)
linearity-path(18,5)
null-not-start-of-path(1,1)
path-modify(6,3)
path-two(0,0)
reachable-addnew-rev(80,42)
reachable-n-rec-strong(4,2)
reachable-trans(8,4)
removed-stays-reachable(18,8)
endnotinH-notreachable(1,0)
modified-stays-reachable(16,8)
path-butlast(1,0)
path-modify-strong(6,3)
reach-alloc(2,1)
reachable-addnewtonull-rev(11,5)
reachable-n-rec-strong2(2,1)
reachable-trans-simp(2,1)
self-reachable(7,4)
frommodified(22,11)
modified-stays-reachable-rev(1,1)
path-cons(0,0)
path-new-irrelevant-strong(8,4)
reach-n-path-n(63,22)
reachable-def(0,0)
reachable-n-rec2(6,4)
reachnext(7,4)
startnotinH-notreachable(2,1)
fromnext-reachable(9,3)
modnotreachable-reachable(11,6)
path-delnonmember(6,3)
path-one(0,0)
reach-n-split(9,3)
reachable-modbehind(14,7)
reachable-n-trans(6,2)
rem-reachable(15,8)
fromnext-reachable-rev(5,3)
modnotreachable-reachable-rev(13,7)
path-empty(0,0)
path-postfix(6,3)
reach-n-split-le(1,1)
reachable-n-1(1,1)
reachable-nodups-def(21,8)
rem-reachable-rev(1,0)