Theorems · Theorem · commutative algebra
AddSubmonoid.one_eq_mrange
∀ {R : Type u_2} [inst : AddMonoidWithOne R], 1 = AddMonoidHom.mrange (Nat.castAddMonoidHom R)- Defined in
- Mathlib.Algebra.Ring.Submonoid.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoidWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- AddSubmonoidstatement · cited by 1,178
- AddMonoidWithOnestatement and proof · cited by 313
- AddMonoidHom.mrangestatement · cited by 61
- Nat.castAddMonoidHomstatement · cited by 16
- AddSubmonoid.onestatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.one_eq_closureproof · cited by 1