Theorems · Theorem · logic and foundations
Cardinal.mk_Iio_ord_toType
Deprecated since 2026-03-20Use Cardinal.mk_Iio_toType_ord_lt instead.
∀ {c : Cardinal.{u_1}} (i : c.ord.ToType), Cardinal.mk ↑(Set.Iio i) < cAlias of Cardinal.mk_Iio_toType_ord_lt.
- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemstatement · cited by 7,166
- Cardinalstatement · cited by 2,598
- Set.Iiostatement · cited by 1,166
- Cardinal.mkstatement · cited by 942
- Cardinal.ordstatement · cited by 266
- Ordinal.ToTypestatement · cited by 143
- Cardinal.mk_Iio_toType_ord_ltproof · cited by 2
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