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Proof step 1 from proof split-owned2 (conclusion)

⊦ (a[P] * a0[P0] * a1[P1] * R)[rs, f, g] ∧ a ≠ a0 ∧ a ≠ a1 ∧ a0 ≠ a1 → (a[P] * true)[rs, f, g] ∧ (a0[P0] * a1[P1] * true)[rs, f, g]

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (R0 * R)[rs, f, g] → (true * R)[rs, f, g]], [CSIMPSEQ : ⊦ R0 * R1 = R1 * R0], [CSIMPSEQ : ⊦ (R0 * R1) * R2 = R0 * R1 * R2])]]