Theorems · Theorem · order theory
mul_lt_of_le_one_of_lt
∀ {α : Type u_1} [inst : MulOneClass α] [inst_1 : Preorder α] [MulRightMono α] {a b c : α}, a ≤ 1 → b < c → a * b < c- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 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
- one_mulproof · cited by 2,841
- MulOneClassstatement and proof · cited by 1,018
- MulRightMonostatement and proof · cited by 263
- mul_le_mul_leftproof · cited by 31
Cited by3
Results whose statement or proof uses this declaration.
- Right.mul_lt_one_of_le_of_ltproof · cited by 3
- mul_lt_of_lt_one_of_lt'proof · cited by 1
- Valuation.Integers.isIntegral_iff_v_le_oneproof · cited by 1