Theorems · Theorem · logic and foundations
Cardinal.lift_succ
∀ (a : Cardinal.{u}), Cardinal.lift.{v, u} (Order.succ a) = Order.succ (Cardinal.lift.{v, u} a)- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Order.succstatement and proof · cited by 633
- Cardinal.liftstatement and proof · cited by 583
- LE.le.not_gtproof · cited by 189
- LE.le.antisymm'proof · cited by 104
- Cardinal.lift_leproof · cited by 78
- Order.lt_succproof · cited by 45
- Order.succ_le_of_ltproof · cited by 42
- Cardinal.lift_ltproof · cited by 39
- Order.lt_succ_iffproof · cited by 22
- Cardinal.lt_lift_iffproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.lift_lt_univproof · cited by 2
- Ordinal.sInf_compl_lt_lift_ord_succproof · cited by 1
- Ordinal.mem_range_lift_of_card_leproof · cited by 0