Theorems · Theorem · logic and foundations
Ordinal.lift_add
∀ (a b : Ordinal.{v}), Ordinal.lift.{u, v} (a + b) = Ordinal.lift.{u, v} a + Ordinal.lift.{u, v} b- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- RelIso.symmproof · cited by 193
- IsWellOrderproof · cited by 171
- Equiv.uliftproof · cited by 115
- Ordinal.liftstatement and proof · cited by 86
- RelIso.transproof · cited by 18
- RelIso.preimageproof · cited by 12
- WellOrderproof · cited by 12
- WellOrder.rproof · cited by 8
- RelIso.sumLexCongrproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Ordinal.lift_omegaproof · cited by 12
- Cardinal.lift_alephproof · cited by 8
- Cardinal.lift_bethproof · cited by 5
- Ordinal.lift_add_oneproof · cited by 1
- Cardinal.lift_preBethproof · cited by 1
- Ordinal.lift_predproof · cited by 0