Theorems · Theorem · order theory
div_le_div_of_nonneg_right
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] [inst_1 : PartialOrder G₀] [MulPosReflectLT G₀] {a b c : G₀},
a ≤ b → 0 ≤ c → a / c ≤ b / c- Cited by
- 77 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- div_eq_mul_invproof · cited by 715
- GroupWithZerostatement and proof · cited by 691
- mul_le_mul_of_nonneg_rightproof · cited by 301
- MulPosReflectLTstatement and proof · cited by 93
- Right.inv_nonnegproof · cited by 2
Cited by77
Results whose statement or proof uses this declaration.
- Complex.exp_boundproof · cited by 6
- LiouvilleWith.exists_posproof · cited by 4
- Real.tendsto_exp_div_pow_atTopproof · cited by 3
- Finset.dens_le_densproof · cited by 3
- monotone_div_right_of_nonnegproof · cited by 3
- schnirelmannDensity_setOfPred_mod_eq_oneproof · cited by 3
- MeasureTheory.hausdorffMeasure_pi_realproof · cited by 3
- Urysohns.CU.continuous_limproof · cited by 3
- CircleDeg1Lift.translationNumber_monoproof · cited by 2
- Complex.norm_log_one_add_half_le_selfproof · cited by 2
- LSeries.norm_term_leproof · cited by 2
- ContinuousLinearMap.rayleighQuotient_le_normproof · cited by 2