Theorems · Theorem · order theory
InitialSeg.map_bot
∀ {α : Type u_1} {β : Type u_2} [inst : PartialOrder β] [inst_1 : PartialOrder α] [inst_2 : OrderBot α]
[inst_3 : OrderBot β] (f : α ≤i β), f ⊥ = ⊥- Defined in
- Mathlib.Order.InitialSeg
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 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.
- DFunLike.coestatement · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- Bot.botstatement · cited by 4,720
- OrderBotstatement and proof · cited by 1,055
- InitialSegstatement and proof · cited by 70
- isMin_botproof · cited by 15
- IsMin.eq_botproof · cited by 12
- InitialSeg.map_isMinproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- PrincipalSeg.map_botproof · cited by 0