Theorems · Theorem · linear algebra
Real.rank_rat_real
Module.rank ℚ ℝ = Cardinal.continuum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Cardinalstatement · cited by 2,598
- Cardinal.liftproof · cited by 583
- Cardinal.aleph0proof · cited by 521
- Module.rankstatement · cited by 496
- Cardinal.lift_idproof · cited by 163
- Cardinal.continuumstatement and proof · cited by 60
- Cardinal.mk_eq_aleph0proof · cited by 20
- Cardinal.aleph0_lt_continuumproof · cited by 11
- Cardinal.mk_realproof · cited by 11
- Module.Free.rank_eq_mk_of_infinite_ltproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Complex.nonempty_linearEquiv_realproof · cited by 0