Theorems · Theorem · order theory
InfPrime.inf_le
∀ {α : Type u_2} [inst : SemilatticeInf α] {a b c : α}, InfPrime a → (b ⊓ c ≤ a ↔ b ≤ a ∨ c ≤ a)- Defined in
- Mathlib.Order.Irreducible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- SemilatticeInf
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeInfstatement and proof · cited by 634
- InfPrimestatement and proof · cited by 26
- inf_le_of_left_leproof · cited by 17
- inf_le_of_right_leproof · cited by 10
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