Theorems · Theorem · order theory
mul_lt_mul_of_lt_of_lt
∀ {α : Type u_1} [inst : Mul α] [inst_1 : Preorder α] [MulLeftStrictMono α] [MulRightStrictMono α] {a b c d : α},
a < b → c < d → a * c < b * d- Cited by
- 9 results in Mathlib
- Foundations
- Depth 8 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
- MulLeftStrictMonostatement and proof · cited by 146
- MulRightStrictMonostatement and proof · cited by 108
- mul_lt_mul_rightproof · cited by 17
- mul_lt_mul_leftproof · cited by 17
Cited by9
Results whose statement or proof uses this declaration.
- div_le_inv_mul_iffproof · cited by 1
- le_or_le_of_mul_le_mulproof · cited by 0
- div_lt_div''proof · cited by 0
- StrictAntiOn.mul'proof · cited by 0
- StrictMono.mul'proof · cited by 0
- trichotomy_of_mul_eq_mulproof · cited by 0
- StrictAnti.mul'proof · cited by 0
- StrictMonoOn.mul'proof · cited by 0
- threeGPFree_insert_of_ltproof · cited by 0