Theorems · Theorem · number theory
Fermat42.exists_odd_minimal
∀ {a b c : ℤ}, Fermat42 a b c → ∃ a0 b0 c0, Fermat42.Minimal a0 b0 c0 ∧ a0 % 2 = 1We can assume that a minimal solution to a ^ 4 + b ^ 4 = c ^ 2 has a odd.
- Defined in
- Mathlib.NumberTheory.FLT.Four
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Int.isCoprime_iff_gcd_eq_oneproof · cited by 16
- Fermat42statement and proof · cited by 9
- Fermat42.Minimalstatement and proof · cited by 8
- Int.emod_two_eq_zero_or_oneproof · cited by 5
- Fermat42.coprime_of_minimalproof · cited by 2
- Fermat42.exists_minimalproof · cited by 1
- Fermat42.minimal_commproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Fermat42.exists_pos_odd_minimalproof · cited by 1