Theorems · Theorem · functional analysis
isQuasiregular_iff_isUnit
∀ {R : Type u_1} [inst : Ring R] {x : R}, IsQuasiregular x ↔ IsUnit (1 + x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Units.valproof · cited by 1,966
- IsUnitstatement and proof · cited by 1,602
- sub_eq_add_negproof · cited by 1,023
- sub_selfproof · cited by 996
- neg_mulproof · cited by 654
- mul_negproof · cited by 590
- mul_addproof · cited by 413
- add_mulproof · cited by 363
- sub_add_cancelproof · cited by 344
Cited by1
Results whose statement or proof uses this declaration.
- quasispectrum_eq_spectrum_unionproof · cited by 3