Theorems · Theorem · order theory
MulArchimedeanClass.mk_inv
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M] (a : M),
MulArchimedeanClass.mk a⁻¹ = MulArchimedeanClass.mk a- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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.
- LinearOrderstatement and proof · cited by 8,572
- CommGroupstatement and proof · cited by 990
- pow_oneproof · cited by 894
- IsOrderedMonoidstatement and proof · cited by 577
- mabsproof · cited by 148
- MulArchimedeanClassstatement · cited by 81
- MulArchimedeanClass.mkstatement · cited by 63
- mabs_invproof · cited by 13
- MulArchimedeanClass.mk_eq_mkproof · cited by 6
Cited by9
Results whose statement or proof uses this declaration.
- MulArchimedeanClass.mk_left_le_mk_divproof · cited by 2
- MulArchimedeanClass.mk_left_le_mk_mul_iffproof · cited by 2
- MulArchimedeanClass.mk_div_commproof · cited by 1
- MulArchimedeanClass.mk_right_le_mk_divproof · cited by 0
- MulArchimedeanClass.min_le_mk_divproof · cited by 0
- MulArchimedeanClass.mk_div_eq_mk_leftproof · cited by 0
- MulArchimedeanClass.mk_div_eq_mk_rightproof · cited by 0
- FiniteMulArchimedeanClass.mk_invproof · cited by 0
- MulArchimedeanClass.one_lt_of_one_lt_of_mk_ltproof · cited by 0