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2 votes
1 answer
206 views

Lemma about splitting of homogeneous polynomial equations into irreducible equations

Proof assistants, and Lean, are completely new to me. How can I derive the following simple lemma in Lean? How can I let Lean check if the lemma is correctly written? How can I let Lean check if the ...
IV_'s user avatar
  • 131
9 votes
1 answer
642 views

How to define curry in Lean

I just started with Lean and with this nice SE. In the official web book/tutorial, when explaining definitions https://leanprover.github.io/theorem_proving_in_lean/index.html they ask to complete this ...
magma's user avatar
  • 193
8 votes
2 answers
533 views

Strong induction on ℕ with function α → ℕ

I have the following problem. I have a type $\alpha$, function $f : \alpha \to \mathbb{N}$ and predicate $P : \alpha \to \mathrm{Prop}$ and I want to prove that for all $a : \alpha, P a$. How could ...
burek's user avatar
  • 137
20 votes
2 answers
735 views

What is the difference between refl and rfl in Lean 3?

I already know that refl is called a tactic, and that rfl is a term; can you explain with examples how they technically differ? ...
Jia Ming جيا ميڠ's user avatar