Theorems · Theorem · order theory
le_mul_of_le_of_one_le
∀ {α : Type u_1} [inst : MulOneClass α] [inst_1 : Preorder α] [MulLeftMono α] {a b c : α}, b ≤ c → 1 ≤ a → b ≤ c * a- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- mul_oneproof · cited by 3,885
- MulOneClassstatement and proof · cited by 1,018
- MulLeftMonostatement and proof · cited by 410
- mul_le_mul_rightproof · cited by 47
Cited by4
Results whose statement or proof uses this declaration.
- mul_eq_one_iff_of_one_leproof · cited by 2
- Nat.exists_prime_gt_modEq_oneproof · cited by 1
- Left.one_le_mulproof · cited by 1
- mabs_div_le_of_one_le_of_leproof · cited by 0