Theorems · Theorem · logic and foundations
Ordinal.natCast_sub
∀ (m n : ℕ), ↑(m - n) = ↑m - ↑n
- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_zeroproof · cited by 1,870
- Ordinalstatement and proof · cited by 1,688
- Nat.cast_addproof · cited by 586
- le_totalproof · cited by 294
- Nat.cast_leproof · cited by 159
- add_tsub_cancel_of_leproof · cited by 79
- tsub_eq_zero_iff_leproof · cited by 32
- add_left_cancel_iffproof · cited by 17
- Ordinal.add_sub_cancel_of_leproof · cited by 14
- Ordinal.sub_eq_zero_iff_leproof · cited by 4
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