Theorems · Definition · ring theory
StarSubsemiring.toSubsemiring
{R : Type v} → [inst : NonAssocSemiring R] → [inst_1 : Star R] → StarSubsemiring R → Subsemiring RReinterpret a StarSubsemiring as a Subsemiring.
- Defined in
- Mathlib.Algebra.Star.Subsemiring
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- NonAssocSemiringStar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonAssocSemiringstatement and proof · cited by 805
- Starstatement and proof · cited by 496
- Subsemiringstatement · cited by 456
- StarSubsemiringstatement and proof · cited by 18
Cited by8
Results whose statement or proof uses this declaration.
- StarSubsemiring.copyproof · cited by 2
- StarSubsemiring.mem_toSubsemiringstatement · cited by 1
- StarSubsemiring.toSubsemiring_injectivestatement and proof · cited by 1
- StarSubsemiring.toSubsemiring_le_iffstatement · cited by 0
- StarSubsemiring.coe_toSubsemiringstatement · cited by 0
- StarSubsemiring.mem_carrierstatement · cited by 0
- StarSubsemiring.star_mem'statement · cited by 0
- StarSubsemiring.toSubsemiring_injstatement · cited by 0