Theorems · Theorem · order theory
ENat.self_le_mul_right
∀ {c : ℕ∞} (a : ℕ∞), c ≠ 0 → a ≤ a * c- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- mul_oneproof · cited by 3,885
- MulZeroClass.zero_mulproof · cited by 1,625
- eq_or_neproof · cited by 1,117
- Order.one_le_iff_ne_zeroproof · cited by 32
- ENat.top_mulproof · cited by 9
- ENat.mul_le_mul_left_iffproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- MvPowerSeries.WithPiTopology.summable_pow_of_constantCoeff_eq_zeroproof · cited by 3
- ENat.self_le_mul_leftproof · cited by 2
- Module.length_finsuppproof · cited by 2
- PowerSeries.le_order_subst_rightproof · cited by 1