Theorems · Theorem
Nat.cast_withBot
∀ (n : ℕ), ↑n = ↑n
- Defined in
- Mathlib.Data.Nat.Cast.WithTop
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithBotstatement · cited by 1,498
- WithBot.somestatement · cited by 541
Cited by15
Results whose statement or proof uses this declaration.
- Polynomial.natDegree_eq_of_degree_eq_someproof · cited by 42
- Polynomial.le_degree_of_ne_zeroproof · cited by 11
- Polynomial.degree_monomialproof · cited by 6
- Lagrange.degree_interpolate_ltproof · cited by 4
- Lagrange.sum_basisproof · cited by 3
- MvPolynomial.natDegree_optionEquivLeftproof · cited by 2
- MvPolynomial.degree_finSuccEquivproof · cited by 2
- Nat.WithBot.coe_nonnegproof · cited by 1
- Lagrange.interpolate_eq_sum_interpolate_insert_sdiffproof · cited by 1
- Polynomial.exists_degree_le_of_mem_spanproof · cited by 1
- MvPolynomial.degree_optionEquivLeftproof · cited by 1
- Ideal.mem_leadingCoeffNthproof · cited by 1