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Proof step 9 from proof map-write (conclusion)

r ∈ H ⊦ (r => o0 * P)(H[r, o1]) → o0 = o1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
r ∈ H, (r => o0 * P)(H[r, o1]) ⊦ o0 = o1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ P0 * P1 = P1 * P0], [CSIMPSEQ : ⊦ (P0 * P1) * P2 = P0 * P1 * P2])]]