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Proof step 1 from proof min-inf2 (conclusion)

⊦ min(n∞, ∞) = n∞

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ min(n∞, n∞0) = (n∞ < n∞0 ⊃ n∞;n∞0)
Proof step 3:
⊦ (n∞ < ∞ ⊃ n∞;∞) = n∞

Rule argument

spec: inst: name: min-def seq: ⊦ min(n∞, n∞0) = (n∞ < n∞0 ⊃ n∞;n∞0) subst: [n∞0, n∞] → [∞, n∞] flags: rewrite, current

Additional information

Used terms: ∞, n∞