Theorems · Theorem · logic and foundations
Cardinal.lift_one
Cardinal.lift.{u_2, u_1} 1 = 1- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 31 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 · cited by 2,598
- Cardinal.liftstatement · cited by 583
- Cardinal.mk_eq_oneproof · cited by 14
Cited by33
Results whose statement or proof uses this declaration.
- Cardinal.lift_natCastproof · cited by 39
- IsLocalizedModule.lift_rank_eqproof · cited by 7
- rank_fun'proof · cited by 6
- Module.finrank_piproof · cited by 5
- rank_eq_zero_iffproof · cited by 3
- Subalgebra.LinearDisjoint.rank_inf_eq_one_of_commute_of_flat_of_injproof · cited by 3
- rank_finsupp_selfproof · cited by 3
- IsBaseChange.lift_rank_eqproof · cited by 3
- Subalgebra.rank_eq_one_iffproof · cited by 3
- lift_trdeg_le_of_surjectiveproof · cited by 3
- Cardinal.mk_setproof · cited by 3
- Cardinal.lift_two_powerproof · cited by 2