Theorems · Definition · logic and foundations
Ordinal.pred_succ_gi
GaloisInsertion Ordinal.pred Order.succ
Ordinal.pred and Order.succ form a Galois insertion.
- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement · cited by 1,688
- Order.succstatement · cited by 633
- GaloisInsertionstatement · cited by 35
- Ordinal.predstatement · cited by 15
- Ordinal.pred_le_iff_le_succproof · cited by 1
- GaloisConnection.toGaloisInsertionproof · cited by 0
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.self_le_succ_predproof · cited by 1
- Ordinal.pred_surjectiveproof · cited by 0