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Project-declaredLean 4.33.0-rc1 · mathlib@169c26b52a38

Kstar sub one

Language.kstar_sub_one

Plain-language statement

A grind regression found moving to nightly-2026-03-31 (changes from lean#13166)

Exact Lean statement

@[scoped grind =]
theorem kstar_sub_one : l∗ - 1 = (l - 1) * l∗

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
@[scoped grind =]theorem kstar_sub_one : l∗ - 1 = (l - 1) * l∗ := by  ext x; constructor  · rintro h1, h2    obtain xl, rfl, h_xl := kstar_def_nonempty l ▸ h1    have h3 : ¬ xl = [] := by grind [one_def]    obtain x, xl', h_xl' := exists_cons_of_ne_nil h3    subst h_xl'    refine x, mem_preimage.mp (h_xl x ?_), xl'.flatten, join_mem_kstar ?_, ?_ <;> grind  · rintro y, h_y, h_1, z, h_z, rfl    refine ?_, ?_    · apply (show l * l∗  l∗ by exact mul_kstar_le_kstar)      exact y, h_y, z, h_z, rfl    · grind [one_def, append_eq_nil_iff]
Project
Lean Computer Science Library
License
Apache-2.0
Commit
f36649cff2c9
Source
Cslib/Computability/Languages/Language.lean:106-119

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Related declarations

Project-declaredLean 4.33.0-rc1

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Plain-language statement

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Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

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Project documentation

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Source project: Lean Computer Science Library

Person-level attribution pending.

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