Theorems · Theorem · ring theory
Semiring.ext
∀ {R : Type u} ⦃inst₁ inst₂ : Semiring R⦄, HAdd.hAdd = HAdd.hAdd → HMul.hMul = HMul.hMul → inst₁ = inst₂- Defined in
- Mathlib.Algebra.Ring.Ext
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidproof · cited by 12,281
- Monoidproof · cited by 3,887
- Monoid.toOneproof · cited by 34
- Semiring.toNatCastproof · cited by 12
- Monoid.extproof · cited by 7
- AddCommMonoid.extproof · cited by 4
- NonAssocSemiring.extproof · cited by 4
- NonUnitalSemiring.extproof · cited by 3
- Semiring.mul_zeroproof · cited by 3
- Semiring.zero_mulproof · cited by 3
- Semiring.left_distribproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Ring.extproof · cited by 5
- CommSemiring.extproof · cited by 1
- Semiring.ext_iffproof · cited by 0
- Semiring.toNonAssocSemiring_injectiveproof · cited by 0
- Semiring.toNonUnitalSemiring_injectiveproof · cited by 0