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Proof step 1 from proof nen (conclusion)

⊦ ¬ b < a ∧ a = c → ¬ b < c

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: loc: ⊦ ¬ a < b ↔ ¬ ¬(a = b ∨ b < a);%transitivity: ⊦ a < b ∧ b < c → a < c;%irreflexivity: ⊦ ¬ a < a;