Theorems · Theorem · logic and foundations
Cardinal.natCast_eq_toENat_iff
Deprecated since 2026-02-17Use Cardinal.natCast_eq_toENat instead.
∀ {n : ℕ} {c : Cardinal.{u_3}}, ↑n = Cardinal.toENat c ↔ ↑n = c- Defined in
- Mathlib.SetTheory.Cardinal.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
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 · cited by 4,985
- Cardinalstatement and proof · cited by 2,598
- OrderRingHomstatement · cited by 132
- Cardinal.toENatstatement and proof · cited by 92
- le_antisymm_iffproof · cited by 62
- Cardinal.toENat_le_natCastproof · cited by 6
- Cardinal.natCast_le_toENatproof · cited by 3
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