Theorems · Definition · commutative algebra
RingCon.op
{R : Type u_1} → [inst : Add R] → [inst_1 : Mul R] → RingCon R → RingCon RᵐᵒᵖIf c is a RingCon R, then (a, b) ↦ c b.unop a.unop is a RingCon Rᵐᵒᵖ.
- Defined in
- Mathlib.RingTheory.Congruence.Opposite
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOppositestatement and proof · cited by 1,135
- RingConstatement and proof · cited by 219
- Conproof · cited by 152
- Con.toSetoidproof · cited by 38
- RingCon.toConproof · cited by 36
- Con.opproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.opproof · cited by 4
- RingCon.opOrderIsoproof · cited by 2
- TwoSidedIdeal.asIdealOppositeproof · cited by 1
- RingCon.opOrderIso_applystatement · cited by 0
- TwoSidedIdeal.op_ringConstatement · cited by 0
- RingCon.op_iffstatement · cited by 0
- TwoSidedIdeal.mem_asIdealOppositeproof · cited by 0