Theorems · Theorem · order theory
mul_le_of_forall_lt
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : LinearOrder α] [MulLeftMono α] [DenselyOrdered α] {a b c : α},
(∀ a' < a, ∀ b' < b, a' * b' ≤ c) → a * b ≤ c- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- CommGroupstatement and proof · cited by 990
- DenselyOrderedstatement and proof · cited by 471
- MulLeftMonostatement and proof · cited by 410
- le_of_forall_lt_imp_le_of_denseproof · cited by 14
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