Theorems · Inductive type · ring theory
RingHomInvPair
{R₁ : Type u_1} →
{R₂ : Type u_2} → [inst : Semiring R₁] → [inst_1 : Semiring R₂] → (R₁ →+* R₂) → outParam (R₂ →+* R₁) → PropClass that expresses the fact that two ring homomorphisms are inverses of each other. This is
used to handle symm for semilinear equivalences.
- Defined in
- Mathlib.Algebra.Ring.CompTypeclasses
- Cited by
- 523 results in Mathlib
- Foundations
- Depth 11 from the axioms, rests on 81 definitions · uses no axioms
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Cited by632
Results whose statement or proof uses this declaration.
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmstatement and proof · cited by 1,461
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
- LinearIsometryEquivstatement · cited by 748
- ContinuousLinearEquivstatement · cited by 743
- ContinuousLinearEquiv.toContinuousLinearMapstatement and proof · cited by 448
- ContinuousLinearEquiv.symmstatement and proof · cited by 368
- LinearEquiv.transstatement and proof · cited by 298
- LinearIsometryEquiv.symmstatement and proof · cited by 287
- LinearEquiv.injectivestatement and proof · cited by 162
- LinearIsometryEquiv.toContinuousLinearEquivstatement and proof · cited by 125
- ContinuousLinearEquiv.toLinearEquivstatement and proof · cited by 118
Showing the 200 most cited of 632.