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[Merged by Bors] - chore: fix typo mimimal to minimal #7455

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[Merged by Bors] - chore: fix typo mimimal to minimal #7455

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6 changes: 3 additions & 3 deletions Mathlib/RingTheory/Ideal/MinimalPrime.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -163,7 +163,7 @@ theorem Ideal.exists_minimalPrimes_comap_eq {I : Ideal S} (f : R →+* S) (p)
exact (H.2 ⟨inferInstance, Ideal.comap_mono hq.1.2⟩ this).antisymm this
#align ideal.exists_minimal_primes_comap_eq Ideal.exists_minimalPrimes_comap_eq

theorem Ideal.mimimal_primes_comap_of_surjective {f : R →+* S} (hf : Function.Surjective f)
theorem Ideal.minimal_primes_comap_of_surjective {f : R →+* S} (hf : Function.Surjective f)
{I J : Ideal S} (h : J ∈ I.minimalPrimes) : J.comap f ∈ (I.comap f).minimalPrimes := by
have := h.1.1
refine' ⟨⟨inferInstance, Ideal.comap_mono h.1.2⟩, _⟩
Expand All @@ -174,7 +174,7 @@ theorem Ideal.mimimal_primes_comap_of_surjective {f : R →+* S} (hf : Function.
apply h.2 _ _
· exact ⟨Ideal.map_isPrime_of_surjective hf this, Ideal.le_map_of_comap_le_of_surjective f hf e₁⟩
· exact Ideal.map_le_of_le_comap e₂
#align ideal.mimimal_primes_comap_of_surjective Ideal.mimimal_primes_comap_of_surjective
#align ideal.mimimal_primes_comap_of_surjective Ideal.minimal_primes_comap_of_surjective

theorem Ideal.comap_minimalPrimes_eq_of_surjective {f : R →+* S} (hf : Function.Surjective f)
(I : Ideal S) : (I.comap f).minimalPrimes = Ideal.comap f '' I.minimalPrimes := by
Expand All @@ -184,7 +184,7 @@ theorem Ideal.comap_minimalPrimes_eq_of_surjective {f : R →+* S} (hf : Functio
obtain ⟨p, h, rfl⟩ := Ideal.exists_minimalPrimes_comap_eq f J H
exact ⟨p, h, rfl⟩
· rintro ⟨J, hJ, rfl⟩
exact Ideal.mimimal_primes_comap_of_surjective hf hJ
exact Ideal.minimal_primes_comap_of_surjective hf hJ
#align ideal.comap_minimal_primes_eq_of_surjective Ideal.comap_minimalPrimes_eq_of_surjective

theorem Ideal.minimalPrimes_eq_comap :
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