Theorems · Theorem · ring theory
TwoSidedIdeal.coe_unop
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] {I : TwoSidedIdeal Rᵐᵒᵖ}, ↑I.unop = MulOpposite.op ⁻¹' ↑I- Defined in
- Mathlib.RingTheory.TwoSidedIdeal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocRing
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Set.preimagestatement · cited by 4,946
- Set.extproof · cited by 2,266
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.opstatement · cited by 520
- NonUnitalNonAssocRingstatement and proof · cited by 354
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.unopstatement · cited by 4
- TwoSidedIdeal.mem_unop_iffproof · cited by 1
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