Theorems · Definition · commutative algebra
Subsemiring.toSubmonoid
{R : Type u} → [inst : NonAssocSemiring R] → Subsemiring R → Submonoid RReinterpret a Subsemiring as a Submonoid.
- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Defs
- Cited by
- 153 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 37 definitions · uses no axioms
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement · cited by 3,086
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
Cited by237
Results whose statement or proof uses this declaration.
- IntermediateField.restrictScalarsproof · cited by 66
- Subsemiring.opproof · cited by 43
- StarAlgebra.adjoinproof · cited by 42
- Subring.mapproof · cited by 33
- Subsemiring.mapproof · cited by 29
- Subsemiring.unopproof · cited by 26
- spinGroupproof · cited by 23
- Subring.comapproof · cited by 22
- Subring.subtypeproof · cited by 22
- Subsemiring.toAddSubmonoidproof · cited by 20
- Subsemiring.comapproof · cited by 20
- Subfield.subtypeproof · cited by 16
Showing the 200 most cited of 237.