Mathlib v4.30 source proposition Int.dvd_mul_emod_add_of_dvd_mul_add

Identifier: F:ml430-int-dvd-mul-emod-add-of-dvd-mul-add-8a4f82e3
Proof route: Not assigned
External status: proved
Axiom footprint: Empty

Recorded description

The proposition declared as `Int.dvd_mul_emod_add_of_dvd_mul_add` in the pinned Mathlib v4.30 source.

Formal statement

∀ {a b c d x : ℤ}, a ∣ b * x + c → a / ↑(a.gcd b) ∣ d → a ∣ b * (x % d) + c

Dependencies

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0 direct dependencies 0 direct dependents

Evidence

Provenance

{
  "date": "2026-08-29",
  "established_by": "not established in this ledger",
  "source": "statement-only extraction of `Int.dvd_mul_emod_add_of_dvd_mul_add` from Mathlib v4.30.0; no proof value was exposed",
  "prior_art": [
    {
      "who": "the Mathlib contributors",
      "what": "the theorem declaration `Int.dvd_mul_emod_add_of_dvd_mul_add`",
      "where": "mathlib4 commit c5ea00351c28e24afc9f0f84379aa41082b1188f (v4.30.0)",
      "year": 2026,
      "attribution": "the proposition was read from the pinned statement-only inventory; the proof term and tactic trace were not consulted"
    }
  ]
}