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Proof step 8 from proof stability (previous step)

((P0 * {H2} ))(H0), P(H0), P1(H3), H3 ⊥ H2 ⊦ (((P0 -⊗ P) * P1))(H3 ∪ H2), P(H3 ∪ H2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ P0 * P1 = P1 * P0
Proof step 10:
((P0 * {H2} ))(H0), P(H0), P1(H3), H3 ⊥ H2 ⊦ ((P1 * (P0 -⊗ P)))(H3 ∪ H2), P(H3 ∪ H2)

Rule argument

spec: <toplevel> name: sep-com seq: ⊦ P0 * P1 = P1 * P0 subst: [P1, P0] → [P1, P0 -⊗ P] flags: <all paths>

Additional information

Used terms: P1, P0 -⊗ P