Theorems · Theorem · commutative algebra
Submodule.goursatFst_toAddSubgroup
∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
[inst_3 : AddCommGroup N] [inst_4 : Module R N] {L : Submodule R (M × N)},
L.goursatFst.toAddSubgroup = L.toAddSubgroup.goursatFst- Defined in
- Mathlib.LinearAlgebra.Goursat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
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Cites16
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
- 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
- LinearMap.compproof · cited by 1,642
- LinearMap.kerproof · cited by 848
- Submodule.mapproof · cited by 614
- Submodule.subtypeproof · cited by 480
- Submodule.toAddSubgroupstatement · cited by 106
- AddSubgroup.extproof · cited by 75
- LinearMap.fstproof · cited by 64
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