Theorems · Theorem · order theory
eq_of_le_of_forall_gt_imp_ge_of_dense
∀ {α : Type u_2} [inst : LinearOrder α] [DenselyOrdered α] {a₁ a₂ : α}, a₁ ≤ a₂ → (∀ a < a₂, a ≤ a₁) → a₁ = a₂- Defined in
- Mathlib.Order.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrderDenselyOrdered
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- LinearOrderstatement and proof · cited by 8,572
- DenselyOrderedstatement and proof · cited by 471
- ge_antisymmproof · cited by 51
- le_of_forall_lt_imp_le_of_denseproof · cited by 14
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