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Proof step 2 from proof Imp-frame (previous step)

P0(H), ∀ P, H. ((P * P0))(H) → ((P * P1))(H) ⊦ P1(H)

User applied rule all left

And closed the goal!

Rule argument

pos: left 2 terms: emp, H abort: F discard: F computed: F

Additional information

Used simplifier rules: emp-sep: ⊦ emp * P = P;%sep-ass: ⊦ (P0 * P1) * P2 = P0 * P1 * P2;%sep-com: ⊦ P0 * P1 = P1 * P0; Used terms: emp, H