Theorems · Theorem · order theory
PredSubOrder.pred_eq_sub_one
∀ {α : Type u_1} {inst : Preorder α} {inst_1 : Sub α} {inst_2 : One α} [self : PredSubOrder α] (x : α),
PredOrder.pred x = x - 1- Defined in
- Mathlib.Algebra.Order.SuccPred
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- PredSubOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- PredSubOrderstatement and proof · cited by 68
- PredOrder.predstatement · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Order.pred_eq_sub_oneproof · cited by 59