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Proof step 18 from proof maxref-exists (previous step)

r < r2, r0 < r1, r0 < r2, ∀ r1. r1 ∈ st0 → r1 < r0, ∀ r. ∃ r0. r < r0 ⊦ r < r0, ∃ r0. ∀ r1. r1 ∈ st0[r -- sk, val] → r1 < r0

User applied rule exists right

And obtained the following new goals

Proof step 17:
r < r2, r0 < r1, r0 < r2, ∀ r1. r1 ∈ st0 → r1 < r0, ∀ r. ∃ r0. r < r0 ⊦ r < r0, ∀ r1. r1 ∈ st0[r -- sk, val] → r1 < r2

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (r2)abort:F, discard:T, computed:F]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r2)]]