Theorems · Theorem · functional analysis
Unitization.val_inv_unitsFstOne_mulEquiv_quasiregular_symm_apply_coe
∀ (R : Type u_1) {A : Type u_2} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : Module R A]
[inst_3 : IsScalarTower R A A] [inst_4 : SMulCommClass R A A] (x : (PreQuasiregular A)ˣ),
↑(↑((Unitization.unitsFstOne_mulEquiv_quasiregular R).symm x))⁻¹ = 1 + ↑(PreQuasiregular.equiv.symm ↑x⁻¹)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- IsScalarTowerstatement and proof · cited by 3,896
- Equiv.symmstatement · cited by 3,681
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- SMulCommClassstatement and proof · cited by 1,927
- MulEquivstatement · cited by 1,142
- MulEquiv.symmstatement and proof · cited by 482
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