Mathlib Map

Theorems · Theorem · logic and foundations

FirstOrder.Language.order.card_eq_one

FirstOrder.Language.order.card = 1
Defined in
Mathlib.ModelTheory.Order
Cited by
1 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FirstOrder.Language.dlo_isComplete · cited by 0Language.dlo_isCompleteCardinal · cited by 2598CardinalNat.cast_one · cited by 2501Nat.cast_oneCardinal.mk_fintype · cited by 81Cardinal.mk_fintypeFintype.card_unique · cited by 59Fintype.card_uniqueFirstOrder.Language.card · cited by 16Language.cardFirstOrder.Language.order · cited by 14Language.orderFirstOrder.Language.Symbols · cited by 4Language.Symbolsorder.card_eq_oneCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.