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Theorems · Theorem · logic and foundations

ONote.repr_inj

∀ {a b : ONote} [a.NF] [b.NF], a.repr = b.repr ↔ a = b
Defined in
Mathlib.SetTheory.Ordinal.Notation
Cited by
2 results in Mathlib
Foundations
Depth 98 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.NF.of_dvd_omega0_opow · cited by 1NF.of_dvd_omega0_opowONote.repr_opow · cited by 1ONote.repr_opowOrdinal · cited by 1688Ordinalne_of_gt · cited by 637ne_of_gtne_of_lt · cited by 203ne_of_ltONote · cited by 88ONoteONote.repr · cited by 45ONote.reprONote.NF · cited by 36ONote.NFOrdering.Compares · cited by 31Ordering.ComparesONote.cmp · cited by 6ONote.cmpONote.cmp_compares · cited by 3ONote.cmp_comparesONote.repr_injCITED BYCITES

Cites9

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

Cited by2

Results whose statement or proof uses this declaration.