Theorems · Theorem · order theory
AddSubmonoid.coe_toNatSubmodule
∀ {M : Type u_3} [inst : AddCommMonoid M] (S : AddSubmonoid M), ↑(AddSubmonoid.toNatSubmodule S) = ↑S- Defined in
- Mathlib.Algebra.Module.Submodule.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoid
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement · cited by 8,199
- Submodulestatement · cited by 7,192
- AddSubmonoidstatement and proof · cited by 1,178
- OrderIsostatement · cited by 874
- AddSubmonoid.toNatSubmodulestatement · cited by 9
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