Theorems · Theorem · ring theory
RingEquiv.map_eq_one_iff
∀ {R : Type u_4} {S : Type u_5} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (f : R ≃+* S) {x : R},
f x = 1 ↔ x = 1- Defined in
- Mathlib.Algebra.Ring.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingEquivstatement and proof · cited by 1,147
- NonAssocSemiringstatement and proof · cited by 805
- EmbeddingLike.map_eq_one_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- RingEquiv.map_eq_neg_one_iffproof · cited by 0