Theorems · Theorem · group theory
one_div_one
∀ {G : Type u_3} [inst : DivInvOneMonoid G], 1 / 1 = 1- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- DivInvOneMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- div_oneproof · cited by 629
- DivInvOneMonoidstatement and proof · cited by 3
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_one_eq_lintegral_enormproof · cited by 16
- NNReal.rpow_add_le_add_rpowproof · cited by 2
- summable_one_div_pow_of_leproof · cited by 2
- ENNReal.rpow_add_le_add_rpowproof · cited by 2
- Rat.den_le_and_le_num_le_of_sub_lt_one_div_den_sqproof · cited by 1
- Function.mulSupport_divproof · cited by 1
- one_le_one_divproof · cited by 1
- ENNReal.lintegral_Lp_add_leproof · cited by 1
- AbsoluteValue.tendsto_div_one_add_pow_nhds_oneproof · cited by 0
- mulTSupport_divproof · cited by 0
- one_lt_one_divproof · cited by 0