Theorems · Theorem · linear algebra
Submodule.sup_toAddSubgroup
∀ {R : Type u_1} {M : Type u_4} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (p p' : Submodule R M),
(p ⊔ p').toAddSubgroup = p.toAddSubgroup ⊔ p'.toAddSubgroup- Defined in
- Mathlib.LinearAlgebra.Span.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingAddCommGroupModule
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Cites10
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- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- AddSubgroupstatement · cited by 3,232
- Submodule.toAddSubgroupstatement and proof · cited by 106
- AddSubgroup.extproof · cited by 75
- Submodule.mem_supproof · cited by 73
- Submodule.mem_toAddSubgroupproof · cited by 5
- AddSubgroup.mem_supproof · cited by 4
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