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Theorems · Theorem · order theory

OrderRingIso.toOrderIso_eq_coe

∀ {α : Type u_2} {β : Type u_3} [inst : Mul α] [inst_1 : Add α] [inst_2 : LE α] [inst_3 : Mul β] [inst_4 : Add β]
  [inst_5 : LE β] (f : α ≃+*o β), ↑f = ↑f
Defined in
Mathlib.Algebra.Order.Hom.Ring
Cited by
2 results in Mathlib
Foundations
Depth 23 from the axioms · uses Quot.sound
Assumes
MulAddLEMulAddLE
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

OrderRingIso.lt_symm_apply · cited by 1OrderRingIso.lt_symm_applyOrderRingIso.symm_apply_lt · cited by 0OrderRingIso.symm_apply_ltOrderIso · cited by 874OrderIsoOrderRingIso · cited by 43OrderRingIsoOrderIso.ext · cited by 23OrderIso.extOrderIsoClass.toOrderIso · cited by 10OrderIsoClass.toOrderIsoOrderRingIso.toOrderIso · cited by 3OrderRingIso.toOrderIsoOrderRingIso.toOrderIso_eq_coeCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.