Theorems · Theorem · logic and foundations
Cardinal.natCast_eq_toENat
∀ {c : Cardinal.{u}} {n : ℕ}, ↑n = Cardinal.toENat c ↔ ↑n = c- Defined in
- Mathlib.SetTheory.Cardinal.ENat
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 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.
- DFunLike.coestatement and proof · cited by 62,936
- ENatstatement and proof · cited by 4,985
- Cardinalstatement and proof · cited by 2,598
- OrderRingHomstatement · cited by 132
- Cardinal.toENatstatement and proof · cited by 92
Cited by2
Results whose statement or proof uses this declaration.
- ENat.card_eq_coe_natCardproof · cited by 12
- Cardinal.ofNat_eq_toENatproof · cited by 0