Theorems · Theorem · logic and foundations
Cardinal.toENat_nat
∀ (n : ℕ), Cardinal.toENat ↑n = ↑n
- Defined in
- Mathlib.SetTheory.Cardinal.ENat
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- ENatstatement · cited by 4,985
- Cardinalstatement · cited by 2,598
- map_natCastproof · cited by 134
- OrderRingHomstatement · cited by 132
- Cardinal.toENatstatement and proof · cited by 92
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.natCast_le_toENatproof · cited by 3
- Cardinal.toENat_ofNatproof · cited by 0
- Cardinal.natCast_le_toENat_iffproof · cited by 0
- Cardinal.toENat_le_iff_of_lt_aleph0proof · cited by 0