Theorems · Theorem · group theory
mul_div_cancel_left
∀ {G : Type u_3} [inst : CommGroup G] (a b : G), a * b / a = b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- CommGroup
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.
- CommGroupstatement and proof · cited by 990
- div_eq_inv_mulproof · cited by 146
- inv_mul_cancel_leftproof · cited by 88
Cited by9
Results whose statement or proof uses this declaration.
- mul_div_cancelproof · cited by 9
- cauchySeq_finset_iff_prod_vanishingproof · cited by 3
- div_mul_cancel_leftproof · cited by 2
- mul_div_div_cancelproof · cited by 1
- smul_sdiv_smul_cancel_leftproof · cited by 1
- Finset.prod_Ico_int_divproof · cited by 0
- mul_mem_ball_iff_normproof · cited by 0
- mul_mem_closedBall_iff_normproof · cited by 0
- Finset.prod_insert_divproof · cited by 0