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Fix constDF case in Stratified induction - #15

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Fix constDF case in Stratified induction#15
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Summary

This removes one sorry in Lean4Lean/Experimental/Stratified.lean, in the constDF case of IsDefEq.induction1.

This is the typed/stratified analogue of #14. The proof binds the recursive induction hypotheses explicitly in the constDF case pattern and uses the Γ-level induction hypothesis in reverse through hdf.

A first attempt with an explicit universe argument failed because it over-constrained the type index. Letting Lean infer the .defeq universe argument resolves the index.

Verification

Checked locally:

lake build Lean4Lean.Experimental.Stratified
lake build

Both passed.

Note: the repository still contains unrelated existing sorrys in other files; this PR only removes the target sorry in Stratified.lean.

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Fix constDF case in Stratified induction by heathsanchez · Pull Request #15 · digama0/lean4lean · GitHub
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Fix constDF case in Stratified induction - #15

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Open

Fix constDF case in Stratified induction#15
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Summary

This removes one sorry in Lean4Lean/Experimental/Stratified.lean, in the constDF case of IsDefEq.induction1.

This is the typed/stratified analogue of #14. The proof binds the recursive induction hypotheses explicitly in the constDF case pattern and uses the Γ-level induction hypothesis in reverse through hdf.

A first attempt with an explicit universe argument failed because it over-constrained the type index. Letting Lean infer the .defeq universe argument resolves the index.

Verification

Checked locally:

lake build Lean4Lean.Experimental.Stratified
lake build

Both passed.

Note: the repository still contains unrelated existing sorrys in other files; this PR only removes the target sorry in Stratified.lean.

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Fix constDF case in Stratified induction - #15

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Open

Fix constDF case in Stratified induction#15
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heathsanchez:sorrydb-fix-stratified-constdf-typed

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Summary

This removes one sorry in Lean4Lean/Experimental/Stratified.lean, in the constDF case of IsDefEq.induction1.

This is the typed/stratified analogue of #14. The proof binds the recursive induction hypotheses explicitly in the constDF case pattern and uses the Γ-level induction hypothesis in reverse through hdf.

A first attempt with an explicit universe argument failed because it over-constrained the type index. Letting Lean infer the .defeq universe argument resolves the index.

Verification

Checked locally:

lake build Lean4Lean.Experimental.Stratified
lake build

Both passed.

Note: the repository still contains unrelated existing sorrys in other files; this PR only removes the target sorry in Stratified.lean.

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Fix constDF case in Stratified induction - #15

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Open

Fix constDF case in Stratified induction#15
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heathsanchez:sorrydb-fix-stratified-constdf-typed

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Summary

This removes one sorry in Lean4Lean/Experimental/Stratified.lean, in the constDF case of IsDefEq.induction1.

This is the typed/stratified analogue of #14. The proof binds the recursive induction hypotheses explicitly in the constDF case pattern and uses the Γ-level induction hypothesis in reverse through hdf.

A first attempt with an explicit universe argument failed because it over-constrained the type index. Letting Lean infer the .defeq universe argument resolves the index.

Verification

Checked locally:

lake build Lean4Lean.Experimental.Stratified
lake build

Both passed.

Note: the repository still contains unrelated existing sorrys in other files; this PR only removes the target sorry in Stratified.lean.

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Fix constDF case in Stratified induction - #15

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Open

Fix constDF case in Stratified induction#15
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heathsanchez:sorrydb-fix-stratified-constdf-typed

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Summary

This removes one sorry in Lean4Lean/Experimental/Stratified.lean, in the constDF case of IsDefEq.induction1.

This is the typed/stratified analogue of #14. The proof binds the recursive induction hypotheses explicitly in the constDF case pattern and uses the Γ-level induction hypothesis in reverse through hdf.

A first attempt with an explicit universe argument failed because it over-constrained the type index. Letting Lean infer the .defeq universe argument resolves the index.

Verification

Checked locally:

lake build Lean4Lean.Experimental.Stratified
lake build

Both passed.

Note: the repository still contains unrelated existing sorrys in other files; this PR only removes the target sorry in Stratified.lean.

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Fix constDF case in Stratified induction - #15

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Open

Fix constDF case in Stratified induction#15
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heathsanchez:sorrydb-fix-stratified-constdf-typed

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Summary

This removes one sorry in Lean4Lean/Experimental/Stratified.lean, in the constDF case of IsDefEq.induction1.

This is the typed/stratified analogue of #14. The proof binds the recursive induction hypotheses explicitly in the constDF case pattern and uses the Γ-level induction hypothesis in reverse through hdf.

A first attempt with an explicit universe argument failed because it over-constrained the type index. Letting Lean infer the .defeq universe argument resolves the index.

Verification

Checked locally:

lake build Lean4Lean.Experimental.Stratified
lake build

Both passed.

Note: the repository still contains unrelated existing sorrys in other files; this PR only removes the target sorry in Stratified.lean.

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Fix constDF case in Stratified induction - #15

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Open

Fix constDF case in Stratified induction#15
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heathsanchez:sorrydb-fix-stratified-constdf-typed

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Summary

This removes one sorry in Lean4Lean/Experimental/Stratified.lean, in the constDF case of IsDefEq.induction1.

This is the typed/stratified analogue of #14. The proof binds the recursive induction hypotheses explicitly in the constDF case pattern and uses the Γ-level induction hypothesis in reverse through hdf.

A first attempt with an explicit universe argument failed because it over-constrained the type index. Letting Lean infer the .defeq universe argument resolves the index.

Verification

Checked locally:

lake build Lean4Lean.Experimental.Stratified
lake build

Both passed.

Note: the repository still contains unrelated existing sorrys in other files; this PR only removes the target sorry in Stratified.lean.

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Fix constDF case in Stratified induction - #15

Open
heathsanchez wants to merge 1 commit into
digama0:masterfrom
heathsanchez:sorrydb-fix-stratified-constdf-typed
Open

Fix constDF case in Stratified induction#15
heathsanchez wants to merge 1 commit into
digama0:masterfrom
heathsanchez:sorrydb-fix-stratified-constdf-typed

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Summary

This removes one sorry in Lean4Lean/Experimental/Stratified.lean, in the constDF case of IsDefEq.induction1.

This is the typed/stratified analogue of #14. The proof binds the recursive induction hypotheses explicitly in the constDF case pattern and uses the Γ-level induction hypothesis in reverse through hdf.

A first attempt with an explicit universe argument failed because it over-constrained the type index. Letting Lean infer the .defeq universe argument resolves the index.

Verification

Checked locally:

lake build Lean4Lean.Experimental.Stratified
lake build

Both passed.

Note: the repository still contains unrelated existing sorrys in other files; this PR only removes the target sorry in Stratified.lean.

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