Theorems · Theorem · ring theory
NonUnitalSubsemiring.closure_empty
∀ {R : Type u} [inst : NonUnitalNonAssocSemiring R], NonUnitalSubsemiring.closure ∅ = ⊥- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Bot.botstatement · cited by 4,720
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubsemiringstatement · cited by 201
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_botproof · cited by 63
- NonUnitalSubsemiring.closurestatement · cited by 31
- NonUnitalSubsemiring.giproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalAlgebra.mem_botproof · cited by 1