Theorems · Theorem · linear algebra
Submodule.span_nat_eq
∀ {M : Type u_4} [inst : AddCommMonoid M] (s : AddSubmonoid M), (Submodule.span ℕ ↑s).toAddSubmonoid = s- Defined in
- Mathlib.LinearAlgebra.Span.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement and proof · cited by 8,199
- Submodule.spanstatement · cited by 1,504
- AddSubmonoidstatement and proof · cited by 1,178
- Submodule.toAddSubmonoidstatement · cited by 162
- AddSubmonoid.closure_eqproof · cited by 10
- Submodule.span_nat_eq_addSubmonoidClosureproof · cited by 5
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