Theorems · Theorem · real analysis
NNReal.le_of_forall_lt_one_mul_le
∀ {x y : NNReal}, (∀ a < 1, a * x ≤ y) → x ≤ y- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement and proof · cited by 4,310
- mul_oneproof · cited by 3,885
- mul_assocproof · cited by 1,667
- inv_invproof · cited by 494
- inv_mul_cancel₀proof · cited by 267
- LT.lt.ne_zeroproof · cited by 34
- inv_eq_zeroproof · cited by 15
- le_of_forall_lt_imp_le_of_denseproof · cited by 14
- NNReal.lt_inv_iff_mul_ltproof · cited by 4
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