Theorems · Theorem · ring theory
add_le_iff
∀ {α : Type u_1} [inst : IdemSemiring α] {a b c : α}, a + b ≤ c ↔ a ≤ c ∧ b ≤ c- Defined in
- Mathlib.Algebra.Order.Kleene
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- IdemSemiring
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.
- IdemSemiringstatement and proof · cited by 12
- add_eq_supproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Ideal.isPrimary_of_isMaximal_radicalproof · cited by 0
- add_leproof · cited by 0
- one_add_mul_kstarproof · cited by 0
- one_add_kstar_mulproof · cited by 0