Theorems · Theorem · logic and foundations
Cardinal.enat_gc
GaloisConnection Cardinal.ofENat ⇑Cardinal.toENat
The coercion Cardinal.ofENat and the projection Cardinal.toENat form a Galois connection.
See also Cardinal.gciENat.
- 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.
Cites8
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
- GaloisConnectionstatement · cited by 253
- OrderRingHomstatement · cited by 132
- Cardinal.toENatstatement · cited by 92
- Cardinal.ofENatstatement · cited by 66
- Cardinal.toENatAux_gcproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Cardinal.toENat_eq_topproof · cited by 4
- Cardinal.ofENat_toENat_leproof · cited by 2
- Cardinal.toENat_le_iff_of_le_aleph0proof · cited by 2
- Cardinal.gciENatproof · cited by 1
- Cardinal.ofENat_toENat_eq_selfproof · cited by 1