Theorems · Theorem · order theory
Order.IsNormal.map_isSuccLimit
∀ {α : Type u_1} {β : Type u_2} {a : α} {f : α → β} [inst : LinearOrder α] [inst_1 : LinearOrder β],
Order.IsNormal f → Order.IsSuccLimit a → Order.IsSuccLimit (f a)- Defined in
- Mathlib.Order.IsNormal
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderLinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- LT.lt.not_geproof · cited by 305
- CovByproof · cited by 290
- Order.IsSuccLimitstatement and proof · cited by 255
- Order.IsNormalstatement and proof · cited by 118
- StrictMono.le_iff_leproof · cited by 104
- CovBy.ltproof · cited by 51
- Order.IsNormal.strictMonoproof · cited by 44
- not_isMin_iffproof · cited by 18
- Order.IsSuccLimit.not_isMinproof · cited by 15
- CovBy.ge_of_gtproof · cited by 6
- Order.IsNormal.lt_iff_exists_ltproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.isSuccLimit_mul_rightproof · cited by 5
- Order.IsNormal.compproof · cited by 5
- Ordinal.isSuccLimit_opowproof · cited by 2
- Ordinal.isSuccLimit_addproof · cited by 2