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Proof step 6 from proof propagate (previous step)

!(me, O2, P)(H0), ((!(id, O2, P1) * true))(H2), P0(H), rely(me, O1, H0 ∪ H, O2, H2), H0 ⊥ H ⊦ id = me, ((!(me, O2, P) * !(id, O2, P1) * true))(H2)

User applied rule cut formula

And obtained the following new goals

Proof step 7:
!(me, O2, P)(H0), ((!(id, O2, P1) * true))(H2), P0(H), rely(me, O1, H0 ∪ H, O2, H2), H0 ⊆ H2, H0 ⊥ H ⊦ id = me, ((!(me, O2, P) * !(id, O2, P1) * true))(H2)
Proof step 47:
!(me, O2, P)(H0), ((!(id, O2, P1) * true))(H2), P0(H), rely(me, O1, H0 ∪ H, O2, H2), H0 ⊥ H ⊦ id = me, ((!(me, O2, P) * !(id, O2, P1) * true))(H2), H0 ⊆ H2

Rule argument

fma: H0 ⊆ H2

Additional information

Used formulas: H0 ⊆ H2