Theorems · Theorem · order theory
sub_lt_iff_lt_add
∀ {α : Type u} [inst : AddGroup α] [inst_1 : LT α] [AddRightStrictMono α] {a b c : α}, a - c < b ↔ a < b + c- Cited by
- 39 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- AddGroupLTAddRightStrictMono
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.
- AddGroupstatement and proof · cited by 4,410
- sub_eq_add_negproof · cited by 1,023
- AddRightStrictMonostatement and proof · cited by 160
- neg_add_cancel_rightproof · cited by 75
- add_lt_add_iff_rightproof · cited by 42
Cited by39
Results whose statement or proof uses this declaration.
- sub_lt_iff_lt_add'proof · cited by 30
- sub_lt_commproof · cited by 15
- sub_one_ltproof · cited by 8
- Set.preimage_add_const_Ioiproof · cited by 8
- Int.sub_one_lt_floorproof · cited by 6
- Nat.sub_one_lt_floorproof · cited by 5
- Int.sub_floor_div_mul_ltproof · cited by 4
- Complex.differentiable_one_div_Gammaproof · cited by 4
- Complex.arg_le_pi_div_two_iffproof · cited by 4
- nhds_basis_Ioo_posproof · cited by 4
- existsUnique_add_zsmul_mem_Icoproof · cited by 3
- existsUnique_sub_zsmul_mem_Icoproof · cited by 3