Theorems · Theorem · logic and foundations
Cardinal.lift_injective
Function.Injective Cardinal.lift.{u, v}- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Cardinal.liftstatement · cited by 583
- RelEmbedding.injectiveproof · cited by 41
- Cardinal.liftInitialSegproof · cited by 8
- InitialSeg.toRelEmbeddingproof · cited by 8
Cited by12
Results whose statement or proof uses this declaration.
- Cardinal.lift_injproof · cited by 38
- rank_uliftproof · cited by 2
- exists_linearIndependent_cons_of_lt_rankproof · cited by 2
- IsAlgClosed.cardinal_eq_cardinal_transcendence_basis_of_aleph0_ltproof · cited by 2
- Cardinal.lift_eq_nat_iffproof · cited by 2
- IsAlgClosed.ringEquiv_of_equiv_of_charZeroproof · cited by 1
- Module.lift_rank_of_isLocalizedModule_of_freeproof · cited by 1
- Cardinal.lift_eq_oneproof · cited by 1
- rank_quotient_add_rank_of_isDomainproof · cited by 0
- Cardinal.lift_eq_zeroproof · cited by 0
- exists_set_linearIndependent_of_isDomainproof · cited by 0