Theorems · Theorem · commutative algebra
AddSubmonoid.one_eq_closure_one_set
∀ {R : Type u_2} [inst : AddMonoidWithOne R], 1 = AddSubmonoid.closure 1- Defined in
- Mathlib.Algebra.Ring.Submonoid.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoidWithOne
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddSubmonoidstatement · cited by 1,178
- AddMonoidWithOnestatement and proof · cited by 313
- AddSubmonoid.closurestatement · cited by 224
- Set.onestatement · cited by 54
- AddSubmonoid.onestatement · cited by 6
- AddSubmonoid.one_eq_closureproof · cited by 1
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