Mathlib Map

Theorems · Theorem · logic and foundations

ONote.cmp_compares

∀ (a b : ONote) [a.NF] [b.NF], (a.cmp b).Compares a b
Defined in
Mathlib.SetTheory.Ordinal.Notation
Cited by
3 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ONote.NFONote.NF
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Around this declaration

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

ONote.repr_inj · cited by 2ONote.repr_injNONote.cmp_compares · cited by 0NONote.cmp_comparesONote.nfBelow_iff_topBelow · cited by 0ONote.nfBelow_iff_topBelowONote · cited by 88ONoteONote.NF · cited by 36ONote.NFOrdering.Compares · cited by 31Ordering.ComparesONote.brecOn · cited by 12ONote.brecOnONote.cmp · cited by 6ONote.cmpONote.cmp_comparesCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.