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Theorems · Theorem · logic and foundations

Cardinal.lift_aleph0

Cardinal.lift.{u_1, u_2} Cardinal.aleph0 = Cardinal.aleph0
Defined in
Mathlib.SetTheory.Cardinal.Defs
Cited by
41 results in Mathlib
Foundations
Depth 23 from the axioms · uses Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cardinal.aleph0_le_lift · cited by 10Cardinal.aleph0_le_liftCardinal.lift_lt_aleph0 · cited by 10Cardinal.lift_lt_aleph0Cardinal.lift_ofENat · cited by 7Cardinal.lift_ofENatCardinal.lift_continuum · cited by 7Cardinal.lift_continuumMvPolynomial.cardinalMk_eq_max_lift · cited by 5MvPolynomial.cardinalMk_e…Cardinal.lift_le_aleph0 · cited by 5Cardinal.lift_le_aleph0Ordinal.nfpFamily_lt_ord_lift · cited by 4Ordinal.nfpFamily_lt_ord_…Cardinal.mk_finsupp_nat · cited by 3Cardinal.mk_finsupp_natCardinal.aleph0_lt_univ · cited by 3Cardinal.aleph0_lt_univhasCardinalLT_aleph0_iff · cited by 3hasCardinalLT_aleph0_iffCardinal.mk_list_eq_mk · cited by 3Cardinal.mk_list_eq_mkLinearIndependent.lt_aleph0_of_finite · cited by 3LinearIndependent.lt_alep…Algebraic.cardinalMk_lift_le_max · cited by 3Algebraic.cardinalMk_lift…Module.Basis.nonempty_fintype_index_of_rank_lt_aleph0 · cited by 2Basis.nonempty_fintype_in…rank_fun_infinite · cited by 2rank_fun_infiniteCardinal · cited by 2598CardinalCardinal.mk · cited by 942Cardinal.mkCardinal.lift · cited by 583Cardinal.liftCardinal.aleph0 · cited by 521Cardinal.aleph0Cardinal.lift_lift · cited by 53Cardinal.lift_liftCardinal.lift_aleph0CITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by41

Results whose statement or proof uses this declaration.