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Proof step 2 from proof le-ls-trans (previous step)

dec0 < dec1, dec ≤ dec0 ⊦ dec < dec1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ dec ≤ dec0 ↔ dec < dec0 ∨ dec = dec0

Rule argument

spec: inst: name: le-ls-neq seq: ⊦ dec ≤ dec0 ↔ dec < dec0 ∨ dec = dec0 subst: [dec0, dec] → [dec0, dec] flags: rewrite, current

Additional information

Used simplifier rules: less-trans: ⊦ dec < dec0 ∧ dec0 < dec1 → dec < dec1; Used terms: dec0, dec