Theorems · Theorem · commutative algebra
RingCon.neg
∀ {S : Type u_2} [inst : AddGroup S] [inst_1 : Mul S] (t : RingCon S) {a b : S}, t a b → t (-a) (-b)- Defined in
- Mathlib.RingTheory.Congruence.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- RingConstatement and proof · cited by 219
- RingCon.toAddConproof · cited by 20
- AddCon.negproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.neg_memproof · cited by 3