Leonardo de Moura
a43020b31b
refactor(kernel): remove heterogeneous equality
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 17:39:12 -08:00
Leonardo de Moura
4dc98bc73b
refactor(builtin/kernel): use iff instead of = for Booleans
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 02:05:09 -08:00
Leonardo de Moura
14c6218bdc
chore(kernel): file name convention
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 20:06:29 -08:00
Leonardo de Moura
3238c7e2a0
feat(library/simplifier): add is_permutation_ceq predicate
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 19:53:52 -08:00
Leonardo de Moura
c73398a0b8
refactor(library/simplifier): relax rule for conditional equalities
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The idea is to support conditional equations where the left-hand-side does not contain all theorem arguments, but the missing arguments can be inferred using type inference.
For example, we will be able to have the eta theorem as rewrite rule:
theorem eta {A : TypeU} {B : A → TypeU} (f : ∀ x : A, B x) : (λ x : A, f x) = f
:= funext (λ x : A, refl (f x))
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 16:06:00 -08:00
Leonardo de Moura
3daac17ea8
feat(library/simplifier): convert disequalities (a ≠ b) into equations '(a = b) = false'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 15:30:16 -08:00
Leonardo de Moura
1176093afa
refactor(library/simplifier): simplifier should only use homogeneous equalities
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 14:58:32 -08:00
Leonardo de Moura
c651d3ea2d
feat(library/simplifier): filter out propositions that cannot be used as conditional equations
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 12:06:27 -08:00
Leonardo de Moura
c8e1ec87d2
feat(library/simplifier): add to_ceqs function that converts a theorem into a sequence of conditional equations
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 18:30:19 -08:00