Theorems · Definition · commutative algebra
Subring.topEquiv
{R : Type u} → [inst : NonAssocRing R] → ↥⊤ ≃+* RThe ring equiv between the top element of Subring R and R.
- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- RingEquivstatement · cited by 1,147
- Subringstatement · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subsemiring.topEquivproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- LaurentSeries.powerSeriesEquivSubringproof · cited by 2
- IsDiscreteValuationRing.equivValuationSubringproof · cited by 0
- Subring.card_topproof · cited by 0
- isSimpleRing_iff_isFieldproof · cited by 0
- Subring.topEquiv_applystatement and proof · cited by 0
- Subring.topEquiv_symm_apply_coestatement and proof · cited by 0
- NumberField.CMExtension.eq_maximalRealSubfieldproof · cited by 0