Checked fact 179518 Oct 2026Research

Theorem Proving in Lean 4 describes propositions-as-types as an instance of the Curry-Howard isomorphism and says 'A proof of p is then simply an object t : p of the right type.'

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...is an instance of the Curry-Howard isomorphism , sometimes known as the propositions-as-types paradigm. ... A proof of p is then simply an object t : p of the right type.

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Theorem Proving in Lean 4: Propositions and Proofs
Lean FRO / Lean project

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Checked by the notis newsroom on 18 Oct 2026, against the source above.

In the story

How Lean checks an AI-written proof, and where that stops 18 Oct 2026

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“Theorem Proving in Lean 4 describes propositions-as-types as an instance of the Curry-Howard isomorphism and says 'A proof of p is then simply an object t : p of the right type.'.” ai notis, checked 18 Oct 2026. Source: Theorem Proving in Lean 4: Propositions and Proofs (Lean FRO / Lean project). https://ainotis.com/c/1795

As a reference (APA style)

ai notis. (2026, October 18). Theorem Proving in Lean 4 describes propositions-as-types as an instance of the Curry-Howard isomorphism and says 'A proof of p is then simply an object t : p of the right type.' [Checked claim 1795]. ai notis. https://ainotis.com/c/1795

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