Theorems · Theorem · order theory
WithBot.pred_coe
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : PredOrder α] [inst_2 : (a : α) → Decidable (Order.pred a = a)]
[NoMinOrder α] {a : α}, Order.pred ↑a = ↑(Order.pred a)- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- WithBotstatement · cited by 1,498
- WithBot.somestatement · cited by 541
- PredOrderstatement and proof · cited by 334
- Order.predstatement and proof · cited by 273
- NoMinOrderstatement and proof · cited by 247
- not_isMinproof · cited by 42
- WithBot.pred_coe_of_not_isMinproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.