Theorems · Theorem · ring theory
RingEquiv.ext_iff
∀ {R : Type u_4} {S : Type u_5} [inst : Mul R] [inst_1 : Mul S] [inst_2 : Add R] [inst_3 : Add S] {f g : R ≃+* S},
f = g ↔ ∀ (x : R), f x = g x- Defined in
- Mathlib.Algebra.Ring.Equiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingEquivstatement and proof · cited by 1,147
- RingEquiv.extproof · cited by 33
Cited by2
Results whose statement or proof uses this declaration.
- Valuation.IsEquiv.uniformContinuous_congrproof · cited by 1
- IsFractionRing.ringEquivOfRingEquivHom_injectiveproof · cited by 0