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[Merged by Bors] - chore: remove redundant Coe (R ≃+* S) (R →+* S) #5545

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[Merged by Bors] - chore: remove redundant Coe (R ≃+* S) (R →+* S) #5545

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10 changes: 0 additions & 10 deletions Mathlib/Algebra/Ring/Equiv.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -604,12 +604,6 @@ theorem toNonUnitalRingHom_injective :
RingEquiv.ext (NonUnitalRingHom.ext_iff.1 h)
#align ring_equiv.to_non_unital_ring_hom_injective RingEquiv.toNonUnitalRingHom_injective

/- The instance priority is lowered here so that in the case when `R` and `S` are both unital, Lean
will first find and use `RingEquiv.instCoeToRingHom`. -/
instance (priority := 900) instCoeToNonUnitalRingHom : Coe (R ≃+* S) (R →ₙ+* S) :=
⟨RingEquiv.toNonUnitalRingHom⟩
#align ring_equiv.has_coe_to_non_unital_ring_hom RingEquiv.instCoeToNonUnitalRingHom

theorem toNonUnitalRingHom_eq_coe (f : R ≃+* S) : f.toNonUnitalRingHom = ↑f :=
rfl
#align ring_equiv.to_non_unital_ring_hom_eq_coe RingEquiv.toNonUnitalRingHom_eq_coe
Expand Down Expand Up @@ -677,10 +671,6 @@ theorem toRingHom_injective : Function.Injective (toRingHom : R ≃+* S → R
RingEquiv.ext (RingHom.ext_iff.1 h)
#align ring_equiv.to_ring_hom_injective RingEquiv.toRingHom_injective

instance instCoeToRingHom : Coe (R ≃+* S) (R →+* S) :=
⟨RingEquiv.toRingHom⟩
#align ring_equiv.has_coe_to_ring_hom RingEquiv.instCoeToRingHom

@[simp] theorem toRingHom_eq_coe (f : R ≃+* S) : f.toRingHom = ↑f :=
rfl
#align ring_equiv.to_ring_hom_eq_coe RingEquiv.toRingHom_eq_coe
Expand Down