Theorems · Theorem · order theory
Order.succ_eq_of_covBy
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : SuccOrder α] {a b : α}, a ⋖ b → Order.succ a = bSee also Order.le_succ_of_wcovBy.
- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderSuccOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Order.succstatement · cited by 633
- SuccOrderstatement and proof · cited by 574
- LE.le.antisymmproof · cited by 507
- CovBystatement and proof · cited by 290
- CovBy.ltproof · cited by 51
- Order.succ_le_of_ltproof · cited by 42
- CovBy.wcovByproof · cited by 15
- WCovBy.le_succproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CovBy.succ_eqproof · cited by 8