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Proof step 20 from proof two-le-three (previous step)

3 < ~1 ^2, 0 < ~1 ^2, 1 < ~1 ^2 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ i ^2 = i * i

Rule argument

spec: inst: name: Square-def seq: ⊦ i ^2 = i * i subst: [i] → [~1] flags: rewrite, current

Additional information

Used simplifier rules: associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult Used terms: ~1