Theorems · Definition · order theory
MulRightStrictMono
(M : Type u_1) → [Mul M] → [LT M] → Prop
Typeclass for monotonicity of multiplication on the right,
namely a₁ < a₂ → a₁ * b < a₂ * b.
You should usually not use this very granular typeclass directly, but rather a typeclass like
IsOrderedMonoid.
- Cited by
- 108 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 11 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Function.swapproof · cited by 216
- CovariantClassproof · cited by 25
Cited by109
Results whose statement or proof uses this declaration.
- mul_lt_mul_iff_rightstatement and proof · cited by 18
- mul_lt_mul_of_lt_of_lestatement and proof · cited by 18
- mul_lt_mul_leftstatement and proof · cited by 17
- inv_lt_inv_iffstatement and proof · cited by 9
- mul_lt_mul_of_lt_of_ltstatement and proof · cited by 9
- mulRightMono_of_mulRightStrictMonostatement and proof · cited by 8
- inv_lt'statement and proof · cited by 6
- div_lt_iff_lt_mulstatement and proof · cited by 5
- lt_div_iff_mul_ltstatement and proof · cited by 4
- lt_inv'statement and proof · cited by 4
- one_lt_div'statement and proof · cited by 3
- lt_mul_of_one_lt_left'statement and proof · cited by 3