Theorems · Theorem · ring theory
Unitization.inr_neg
∀ (R : Type u_3) {A : Type u_4} [inst : AddGroup R] [inst_1 : Neg A] (m : A), ↑(-m) = -↑m- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- neg_zeroproof · cited by 542
- Unitizationstatement · cited by 220
- Unitization.inrstatement · cited by 109
- Unitization.extproof · cited by 21
Cited by4
Results whose statement or proof uses this declaration.
- Unitization.quasispectrum_eq_spectrum_inr'proof · cited by 12
- Unitization.quasispectrum_eq_spectrum_inrproof · cited by 4
- CFC.negPart_eq_negproof · cited by 1
- CFC.posPart_negPart_uniqueproof · cited by 0