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Propositions and currying #116

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DavidPratten opened this issue May 26, 2024 · 0 comments
Open

Propositions and currying #116

DavidPratten opened this issue May 26, 2024 · 0 comments

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@DavidPratten
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Hi,

Working through the book and loving it. Thanks.

Quick question on https://github.com/leanprover/theorem_proving_in_lean4/blob/master/propositions_and_proofs.md

In the section Propositional Logic we have

So if we have p q r : Prop, the expression p → q → r reads "if p, then if q, then r." This is just the "curried" form of p ∧ q → r.

I'm curious where the conjunction came from? Would it be possible to clarify the idea here?

I'm wondering if p → q → r is also the curried form of p ∨ q → r?

David

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