Theorems · Theorem · order theory
posMulStrictMono_iff_mulPosStrictMono
∀ {α : Type u_1} [inst : Mul α] [inst_1 : Zero α] [inst_2 : Preorder α] [IsMulCommutative α],
PosMulStrictMono α ↔ MulPosStrictMono α- Defined in
- Mathlib.Algebra.Order.GroupWithZero.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
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
- PosMulStrictMonostatement · cited by 151
- IsMulCommutativestatement and proof · cited by 95
- MulPosStrictMonostatement · cited by 94
- mul_comm'proof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- Finset.prod_lt_prodproof · cited by 1
- WithTop.mul_lt_mulproof · cited by 1
- List.prod_map_lt_prod_mapproof · cited by 1
- CanonicallyOrderedAdd.mul_lt_mul_of_lt_of_ltproof · cited by 1
- PosMulStrictMono.toMulPosStrictMonoproof · cited by 0