2ca3bc2859
Hi, these are just some spelling corrections. There is one I wasn't completely sure about in src/Init/Data/List/Lemmas.lean: > See also > ... > Also > \* \`Init.Data.List.Monadic\` for **addiation** _(additional?)_ lemmas about \`List.mapM\` and \`List.forM\`
43 lines
1.3 KiB
Text
43 lines
1.3 KiB
Text
module
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/-!
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variant of issue8939 with well-founded recursion
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(Or is this just 8938 showing up with 8939 fixed? anyways, more tests don't hurt)
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-/
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public axiom g : Nat → Nat → Nat
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public axiom magic_dec : f - 1 < f
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set_option warn.sorry false
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set_option pp.proofs true
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-- set_option trace.Elab.definition.wf true
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-- set_option trace.Kernel true in
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@[expose] public
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def ackermann_fuel : (n m : Nat) → (fuel : Nat) → (h : g n m < fuel) → Nat
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| 0, m, _, _ => m+1
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| n + 1, 0, f, h => ackermann_fuel n 1 (f - 1) (by sorry)
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| n + 1, m + 1, f, h =>
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ackermann_fuel n (ackermann_fuel (n + 1) m (f - 1) (by sorry)) (f - 1) (by as_aux_lemma => sorry)
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termination_by _ _ fuel => fuel
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decreasing_by
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-- At some point, using as_aux_lemma in decreasing_by did not work
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as_aux_lemma => sorry
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as_aux_lemma => sorry
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as_aux_lemma => sorry
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done
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def ackermann_fuel'' : (n m : Nat) → (fuel : Nat) → (h : g n m < fuel) → Nat
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| 0, m, _, _ => m+1
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| n + 1, 0, f, h => ackermann_fuel'' n 1 (f - 1) (by sorry)
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| n + 1, m + 1, f, h =>
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ackermann_fuel'' n (ackermann_fuel'' (n + 1) m (f - 1) (by sorry)) (f - 1) (by as_aux_lemma => sorry)
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termination_by _ _ fuel => fuel
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decreasing_by
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as_aux_lemma => sorry
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as_aux_lemma => sorry
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as_aux_lemma => sorry
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done
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#print ackermann_fuel''._unary
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