Theorems · Definition · order theory
OrderRingIso.toRingEquiv
{α : Type u_6} →
{β : Type u_7} →
[inst : Mul α] →
[inst_1 : Add α] → [inst_2 : Mul β] → [inst_3 : Add β] → [inst_4 : LE α] → [inst_5 : LE β] → α ≃+*o β → α ≃+* β- Defined in
- Mathlib.Algebra.Order.Hom.Ring
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingEquivstatement · cited by 1,147
- OrderRingIsostatement and proof · cited by 43
Cited by16
Results whose statement or proof uses this declaration.
- OrderRingIso.symmproof · cited by 12
- OrderRingIso.transproof · cited by 5
- OrderRingIso.toOrderRingHomproof · cited by 3
- OrderRingIso.toOrderIsoproof · cited by 3
- OrderRingIso.trans_toRingEquivstatement · cited by 0
- OrderRingIso.trans_toRingEquiv_auxstatement · cited by 0
- OrderRingIso.map_le_map_iff'statement · cited by 0
- OrderRingIso.mk_coestatement and proof · cited by 0
- OrderRingIso.self_trans_symmproof · cited by 0
- OrderRingIso.apply_symm_applyproof · cited by 0
- OrderRingIso.symm_apply_applyproof · cited by 0
- OrderRingIso.coe_ringEquiv_reflstatement · cited by 0