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Proof step 5 from proof le-trans (previous step)

dec ≤ dec0, dec0 ≤ dec1 ⊦ dec = dec1, dec < dec1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ dec ≤ dec0 ↔ dec < dec0 ∨ dec = dec0
Proof step 7:
dec ≤ dec0, dec0 < dec1 ∨ dec0 = dec1 ⊦ dec = dec1, dec < dec1

Rule argument

spec: inst: name: le-ls-neq seq: ⊦ dec ≤ dec0 ↔ dec < dec0 ∨ dec = dec0 subst: [dec0, dec] → [dec1, dec0] flags: rewrite, current

Additional information

Used terms: dec1, dec0