Theorems · Theorem · logic and foundations
Cardinal.two_le_iff
∀ {α : Type u}, 2 ≤ Cardinal.mk α ↔ ∃ x y, x ≠ y- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 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.mkstatement · cited by 942
- nontrivial_iffproof · cited by 12
- Cardinal.one_lt_iff_nontrivialproof · cited by 3
- Cardinal.two_le_iff_one_ltproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.two_le_iff'proof · cited by 0