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Proof step 53 from proof embed-split (previous step)

mk(rs, f, g) = mk(rs0, f0, g0) ∪ mk(rs1, f1, g1), rs0 ∩ rs1 = ∅, a[P0](mk(rs0, f0, g0)), a[P1](mk(rs1, f1, g1)) ⊦ ∃ H0, H1. H0 ⊥ H1 ∧ mk(rs, f) = H0 ∪ H1 ∧ P0(H0) ∧ P1(H1)

User applied rule exists right

And obtained the following new goals

Proof step 54:
mk(rs, f, g) = mk(rs0, f0, g0) ∪ mk(rs1, f1, g1), rs0 ∩ rs1 = ∅, a[P1](mk(rs1, f1, g1)), a[P0](mk(rs0, f0, g0)) ⊦ mk(rs0, f0) ⊥ mk(rs1, f1) ∧ mk(rs, f) = mk(rs0, f0) ∪ mk(rs1, f1) ∧ P0(mk(rs0, f0)) ∧ P1(mk(rs1, f1))

Rule argument

pos: right 1 terms: mk(rs0, f0), mk(rs1, f1) abort: F discard: T computed: F

Additional information

Used terms: mk(rs0, f0), mk(rs1, f1)