Theorems · Theorem · logic and foundations
Cardinal.out_embedding
∀ {c c' : Cardinal.{u_1}}, c ≤ c' ↔ Nonempty (Quotient.out c ↪ Quotient.out c')- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Function.Embeddingstatement and proof · cited by 988
- Cardinal.mkproof · cited by 942
- Quotient.outstatement and proof · cited by 141
- Cardinal.mk_outproof · cited by 14
- Cardinal.le_defproof · cited by 3
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