Theorems · Theorem · functional analysis
IsQuasiregular.isUnit_one_add
∀ {R : Type u_1} [inst : Semiring R] {x : R}, IsQuasiregular x → IsUnit (1 + x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- IsUnitstatement · cited by 1,602
- mul_addproof · cited by 413
- add_mulproof · cited by 363
- IsQuasiregularstatement and proof · cited by 18
- isQuasiregular_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- isQuasiregular_iff_isUnitproof · cited by 1