Theorems · Theorem · group theory
Units.val_mk0
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] {a : G₀} (h : a ≠ 0), ↑(Units.mk0 a h) = a- Cited by
- 16 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Units.valstatement · cited by 1,966
- GroupWithZerostatement and proof · cited by 691
- Units.mk0statement · cited by 181
Cited by16
Results whose statement or proof uses this declaration.
- FiniteField.pow_card_sub_one_eq_oneproof · cited by 7
- Valuation.exists_pow_Uniformizerproof · cited by 3
- Valued.locally_constproof · cited by 3
- MeasureTheory.hausdorffMeasure_homothety_preimageproof · cited by 2
- Polynomial.sub_one_pow_totient_lt_cyclotomic_evalproof · cited by 2
- Padic.isUniformInducing_cast_withValproof · cited by 2
- Valuation.IsEquiv.uniformContinuousproof · cited by 1
- Polynomial.cyclotomic_eval_lt_add_one_pow_totientproof · cited by 1
- ArithmeticFunction.prod_eq_iff_prod_pow_moebius_eq_of_nonzeroproof · cited by 1
- ClassGroup.mk0_integralRepproof · cited by 1
- LaurentSeries.exists_ratFunc_val_ltproof · cited by 1
- Field.exists_primitive_element_of_finite_topproof · cited by 1