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Theorems · Theorem · order theory

WithTop.succ_coe

∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : SuccOrder α] [inst_2 : (a : α) → Decidable (Order.succ a = a)]
  [NoMaxOrder α] {a : α}, Order.succ ↑a = ↑(Order.succ a)
Defined in
Mathlib.Order.SuccPred.Basic
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderSuccOrderDecidableNoMaxOrder
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Around this declaration

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ENat.succ_natCast · cited by 1ENat.succ_natCastPartialOrder · cited by 6410PartialOrderWithTop · cited by 3754WithTopWithTop.some · cited by 1128WithTop.someOrder.succ · cited by 633Order.succSuccOrder · cited by 574SuccOrderNoMaxOrder · cited by 340NoMaxOrdernot_isMax · cited by 46not_isMaxWithTop.succ_coe_of_not_isMax · cited by 1WithTop.succ_coe_of_not_i…WithTop.succ_coeCITED BYCITES

Cites8

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Cited by1

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