Theorems · Theorem · logic and foundations
Cardinal.lift_inj
∀ {a b : Cardinal.{u}}, Cardinal.lift.{v, u} a = Cardinal.lift.{v, u} b ↔ a = b- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 38 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Cardinal.liftstatement · cited by 583
- Cardinal.lift_injectiveproof · cited by 12
Cited by38
Results whose statement or proof uses this declaration.
- LinearEquiv.rank_eqproof · cited by 31
- Module.rank_selfproof · cited by 17
- finrank_span_eq_cardproof · cited by 7
- rank_spanproof · cited by 6
- Ordinal.lift_cof_iSup_add_oneproof · cited by 4
- IsBaseChange.lift_rank_eqproof · cited by 3
- IsBaseChange.lift_rank_eq_of_le_nonZeroDivisorsproof · cited by 3
- MvPolynomial.rank_eq_liftproof · cited by 3
- ZFSet.card_emptyproof · cited by 2
- ZFSet.card_insertproof · cited by 2