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Proof step 51 from proof alloc-p (previous step)

H1 ++ r = H0 ∪ H, !(me, O2, r =>_)(H0), ((!(me, O2, P) * P0))(H), rely(me, O1(r; me), H1 ++ r, O2, H2), H0 ⊥ H ⊦ r = null, ((!(me, O1, P) * P0))(H1), ((r =>_ * !(me, O1, P) * P0))(H1 ++ r), r ∈ H1

User applied rule insert equation

And obtained the following new goals

Proof step 52:
H1 ++ r = H0 ∪ H, !(me, O2, r =>_)(H0), ((!(me, O2, P) * P0))(H), rely(me, O1(r; me), H0 ∪ H, O2, H2), H0 ⊥ H ⊦ r = null, ((r =>_ * !(me, O1, P) * P0))(H0 ∪ H), ((!(me, O1, P) * P0))(H1), r ∈ H1

Rule argument

pos: left 1 flags:

Proof step 51 from proof alloc-p (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information