Theorems · Theorem · logic and foundations
Ordinal.one_lt_omega0
1 < Ordinal.omega0
- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_oneproof · cited by 2,501
- Ordinalstatement · cited by 1,688
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.natCast_lt_omega0proof · cited by 24
Cited by39
Results whose statement or proof uses this declaration.
- ONote.fundamentalSequence_has_propproof · cited by 5
- Ordinal.veblen_veblen_of_ltproof · cited by 4
- Ordinal.veblen_zero_strictMonoproof · cited by 4
- Ordinal.isPrincipal_add_iff_zero_or_omega0_opowproof · cited by 3
- ONote.NF.below_of_lt'proof · cited by 3
- Ordinal.veblen_lt_veblen_iff_rightproof · cited by 3
- Ordinal.veblen_posproof · cited by 3
- Ordinal.card_opow_le_of_omega0_le_leftproof · cited by 3
- Ordinal.lt_omega0_opowproof · cited by 3
- Ordinal.isNormal_veblen_zeroproof · cited by 2
- Ordinal.veblen_add_oneproof · cited by 2
- Ordinal.veblen_le_veblen_iff_rightproof · cited by 2