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Proof step 24 from proof maxref-exists (previous step)

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

User applied rule all left

And obtained the following new goals

Proof step 23:
∀ r1. r1 ∈ st0 → r1 < r0, ∃ r1. r0 < r1, ∀ r. ∃ r0. r < r0 ⊦ ∃ r0. ∀ r1. r1 ∈ st0[r -- sk, val] → r1 < r0

Rule argument

[EXRARG : pos: left 2, [extquanttermlist: (r0)abort:F, discard:F, computed:F]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r0)]]