Theorems · Theorem · commutative algebra
Submodule.neg_sup
∀ {R : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
(S T : Submodule R M), -(S ⊔ T) = -S ⊔ -T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- Submodulestatement and proof · cited by 7,192
- OrderIso.map_supproof · cited by 37
- Submodule.pointwiseNegstatement · cited by 20
- Submodule.negOrderIsoproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.