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Proof step 12 from proof rely-trans (previous step)

O1(r) = me ↔ O2(r) = me, O2(r) = me → (r ∈ H1 ↔ r ∈ H2) ∧ (r ∈ H1 → H1[r] = H2[r]), ∀ r. (O0(r) = me ↔ O1(r) = me) ∧ (O0(r) = me → (r ∈ H0 ↔ r ∈ H1) ∧ (r ∈ H0 → H0[r] = H1[r])) ⊦ (O0(r) = me ↔ O2(r) = me) ∧ (O0(r) = me → (r ∈ H0 ↔ r ∈ H2) ∧ (r ∈ H0 → H0[r] = H2[r]))

User applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: r abort: F discard: F computed: T

Additional information

Used terms: r