Theorems · Theorem · commutative algebra
Submodule.coe_set_neg
∀ {R : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (S : Submodule R M),
↑(-S) = -↑S- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- SemiringAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coestatement · cited by 8,199
- Submodulestatement and proof · cited by 7,192
- Set.negstatement · cited by 168
- Submodule.pointwiseNegstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.span_neg_eq_negproof · cited by 1