Theorems · Theorem · commutative algebra
MulEquivClass.toMulEquiv.congr_simp
∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : EquivLike F α β] [inst_1 : Mul α] [inst_2 : Mul β]
[inst_3 : MulEquivClass F α β] (f f_1 : F), f = f_1 → ↑f = ↑f_1- Defined in
- Mathlib.Algebra.Ring.Divisibility.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses Quot.sound
- Assumes
- EquivLikeMulMulMulEquivClass
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.
- MulEquivstatement · cited by 1,142
- EquivLikestatement and proof · cited by 165
- MulEquivClass.toMulEquivstatement and proof · cited by 57
- MulEquivClassstatement and proof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- ClassGroup.mk_eq_one_iffproof · cited by 4