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RFC: Implement transfer method. Use it for int and dlist#1435
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johoelzl wants to merge 12 commits intoleanprover:masterfrom
johoelzl:int_transfer
Closed
RFC: Implement transfer method. Use it for int and dlist#1435johoelzl wants to merge 12 commits intoleanprover:masterfrom johoelzl:int_transfer
johoelzl wants to merge 12 commits intoleanprover:masterfrom
johoelzl:int_transfer
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This commit introduces the transfer method. As application it is used it to prove that the integers form a commutative ring.
leodemoura
reviewed
Mar 8, 2017
| dlist.transfer, | ||
| intros, | ||
| simp | ||
| end |
Contributor
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Beautiful! |
Member
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I have already merged it. |
Contributor
Author
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I marked it as RFC as its only tested on |
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This adds a
transfermethod to lean.It is used to prove that
intis a commutative ring. For this it transfers along a relation betweenint(i.e. a disjoint sum of nonnegative and negative numbers) and pairs of natural numbers. Usingtransferthe instantiation ofcomm_ring intis much shorter and nicer structured. For example: provingadd_assocrequired a case distinction on all 3 variables, this is now completely gone. Now it requires a proof for each constant (i.e.zero,add,mul, ...) that it is proper wrt to the relation. This turns out to be a straight forward case distinction on the function arguments.For
dlistit transfers along the isomorphism betweendlistandlist.This currently only supports simple types. It does not yet support type constructors, i.e. it can not transfer
list (dlist α)tolist (list α)orlist inttolist (nat * nat).